Before YouTube, commercial audio recordings were primary source of information for musicians, much more so than today.  This post will look at commercially released recordings (vinyl and CD) of conga santiaguera; some of these are labled as "conga oriental" so I'll attempt explain these two terms.

Oriental or Santiaguera?
The term Oriente refers to the Eastern region of Cuba; it was a province until 1976 when it was split up into Las Tunas, Granma, Holguín, Santiago de Cuba, and Guantánamo Provinces. My limited research indicates that the conga rhythm as it is currently played in Oriente is mainly derived from the Santiaguera style with its characteristic tambora (bass drum) accent right before the downbeat.  Of course, different cities in the region have their own styles and variants; for example, Guantanamo's congas seem to use four bells (instead of three as in Santiago) and sometimes have a brass section instead of a corneta china.  The terms I prefer are: santiaguera if its from Santiago or mostly based on that style; oriental to refer to a style from Oriente outside of Santiago.

1. Conjunto Corneta China: Conga en Oriente /Goza Mi Conga

This recording was originally issued as a 78 by Panart, probably in 1950 if we assume their catalog numbers are consistently in chronological order. It was also reissued as a 45, probably some time in the late 1950s. 
Ironically it is in a non-traditional “band” format with a piano and bass in addition to percussion, vocals, and the trademark corneta china.  The percussion instruments are probably not all from a traditional conga: they sound like cowbell, conga drums and one or more bass drums. It is very likely that the corneta player and some of the percussionists are from La Conga de Los Hoyos, who, according to an informant cited here, visited Havana in 1950 and rehearsed a few blocks away from the Panart studio. 
It seems odd to me that percussionists from Los Hoyos would not use to their own traditional instruments to record, but its difficult to verify if the musicians at this session were indeed from Los Hoyos.  
According to an article by Rolando Antonio Pérez Fernández , there was a group known as "La Corneta China" that performed at a Santiago carnival dance in 1941, but it is very unlikely that this same group traveled to Havana or recorded at all.  A web search for "Conjunto Corneta China" invariably leads to the Panart recording.

It is much more likely that this recording was made by a "pick up" group of Havana session musicians, and probably the corneta player and some percussionists from Los Hoyos.  In addition there is little if any evidence that the corneta china was used by comparsas in Havana at this time.
The pianist, who solos on both tracks, sounds familiar to me and is probably someone that appears on other Panart recordings: maybe Julio Gutierrez or Perchuin. 
Despite the absence of some of the traditional percussion instruments, the over all rhythmic feel of the recording is authentic enough to consider it a “true” conga Santiaguera.

Side A: “Conga en Oriente”
The track starts with a typical rubato corneta call and drum/percussion roll.  After a few measures of corneta soloing over percussion, bass and piano, the first coro (chant or refrain) begins :

Si tú eres consciente
Y te gusta guarachar
Ven acá para nuestro oriente
A gozar en el carnaval

If you're conscious
And you like to party
Come see us in Oriente [Eastern Cuba]
And enjoy the carnaval 

(The message here is: "If you dont like Carnival in oriente, you must be unconscious!")

Normally in a conga performance, the corneta china plays the coro melody first and then the musicians and crowd respond by singing the coro; this does not occur on either of these tracks. The coro enters without being “called” by the corneta; the corneta then improvises in between coros. 

After a short piano solo comes the second coro:

Me voy a oriente
A gozar en el carnaval

Im going to oriente
To enjoy the carnival.

Side B: "Goza mi conga"
This track also starts with a rubato section and a short corneta improvisation, followed by the first coro:

Mamá que fue (se fue?) (2x)
A los carnavales de oriente me voy (2x)

Mom [she] went
Im going to carnival in oriente [too]

This Coro is the only one on either of these tracks that I've heard in other settings; it's one of many in the traditional Conga Santiaguera repertoire. 

After a short piano solo, (with the some quinto variations that definitely sound Santiaguero to me)
the last Coro comes in: 

Goza mi conga como es
Enjoy my Conga as it is

Originally released in 1960 on RCA VICTOR, according to Fidel’s Eyeglasses, an excellent blog,
this track is listed as a “Poupurrit de Congas Orientales” and seems to have been quite popular in Cuba in the early 1960s.  The first part of the track is done to a Conga Habanera rhythm; at 1:05 the groove changes for the coro “Hasta Santiago a pie.” The percussion style here is closer to “comparsita” than conga santiaguera.  Comparsita is a style that I became aware of at a 2019 lesson/interview with Bertha Armiñán Linares in Santiago. 
“Hasta Santiago a pie” ([Let’s go] to Santiago by foot) is a very common coro in Santiago.

Here are the other coros:

Agua, que va a llover
Water ! Its gonna rain

This melody/chant is fairly common in both rumba (i have heard it in New York park rumbas), salsa and (in a modified form) conga santiaguera.

Mori bo ya ya
(a Yoruba religous chant)

Veinte le doy
a mi gallo pelon

(roughly!)
Ill bet twenty on my bald rooster  

These last two coros probably have their origins in Havana or Matanzas.

This LP was probably released in 1967 (I have seen various dates between 1959 and 1967 cited) and has not been reissued on CD or digitally.  It includes what i would call "field recordings" of conga santiaguera, most likely recorded in the streets of Santiago in 1960 or 1961.  Of the three releases discussed in this post, this is by far the most authentic.  The album includes four tracks of conga; no perfomer credits other than “comparsa musicians” are given.  These tracks could be the earliest fully authentic recordings of conga santiaguera.  More on this album in these blogs: Fidel's Eyeglasses, Music Republic, and MuzzicalTrips.

The tracks:

Ambiance De Rue
Because of the syncopated bell playing (similar to patterns used in the Conga Habanera rhythm), this track is probably La Conga San Agustin.  During my recent trips to Santiago, I learned that San Agustin is the only conga where the “uno y dos” (usually medium pitched) bell improvises. The “uno y dos” and “un solo golpe” bells have a “conversation” where both bells improvise simultaneously;

I was unable to actually record San Agustin's bell players playing in this style but I'm including here a brief interpretation by two musicians from La Conga de Los Hoyos. Many of the younger Conga musicians in Santiago showed a great respect for and interest in, the styles of their rival Congas.  This is very similar to the musical camaraderie, interest and respect that I've seen between batuqueiros (drummers) from Rio de Janeiro's various samba schools.

El Macuquillo Oriental
Because the requinto is the drum that opens the conga groove (around :07 here), I will guess that this is La Conga de Los Hoyos.  Lazaro Bandera, current musical director of Los Hoyos and a very knowledgeable historian of this genre, explained to me that, in Los Hoyos for many years the requinto was the drum that would start the conga groove. The rhythm in this track this also switches to Columbia and then back to Conga (Pilón), which could indicate that it's Los Hoyos.  The traditional practice of Los Hoyos, however, has been to play Pilón, Columbia and Masón as a complete cycle.

Improvisation de Comparsa (from Side A)
This track is very useful for musicians; it has some well recorded quinto and tambora (a.k.a galleta or redoblante) improvisations.  My teacher Lazaro Bandera Malet identified this track as likely being from Conga San Pedrito.  He cited the tempo (relatively fast), the inclusion of a guayo (metal scraper) and the styles of corneta and tambora playing as evidence.

Improvisation de Comparsa (from Side B)
The ensemble here includes claves and maracas (or similar shakers), which are not traditional conga instruments.   There are a few well recorded tambora and un solo golpe bell variations toward the end. Because of the slightly slower tempo, this is probably Conga Paso Franco.
This album also contains a rare recording of a Comparsa Carabali from Santiago; the track, "Carabali - Burundanga;" includes a corneta china, which is quite unusual for this style.  The release also has tracks by the great Tata Guines and Grupo Guaguancó Matancero (who would later become famous as "Los Muñequitos De Matanzas".

The Panart record is important because, despite using a non-traditional ensemble format, it may be the first recording of Conga Santiaguera.  The Hermanos Bravo track is included here because it refers to Santiago and Oriente, has some some musical elements of these places, and was fairly well known in Cuba when it came out.  The Chant Du Monde release is very important as possibly the first recording of conga made in the streets of Santiago, where this genre was born.  It is also an excellent resource for percussionists.