Yeah, I remember "Conan Babies" was a recurring bit they did on Friday night (so Conan could lead into it as the "very first Saturday morning cartoon of the day") roughly once a month for much of his first year on Late Night, though I guess by summer 1994 they had decided that the joke was played out so they stopped doing it.
I guess the uploader think they're the only 2 installments because those are the only 2 that seem to have been uploaded to the web.
I submitted this one mainly as a tribute to the late David Cassidy but I do find it interesting that the visual of Baby Geraldo getting injected in the butt foreshadowed the visuals of so many Elsa, Spider-Man, and the Joker videos.