Two Questions about character names from Broadway Musicals

I have two questions about character's from musicals.

1) The original Queenie from "Showboat" was played by Aunt Jemima. Even though this wasn't her real name, did the pancake batter stem from her stage name?

2) Yenta is the matchmaker in "Fiddler on the Roof". Does the name Yenta have something to do with Jewish matchmaking and the writers of the book gave the character that name, or did FOTR become such a huge part of Jewish Culture that they picked it up. In the Bravo show 'Millionaire Matchmaker' the woman told her employees "Be a Yenta". In an interview discussing "A Catered Affair" Harvey Firestein said something about when he was young "the Yenta's would be out on the street matchmaking." So I just wondered about the origin of the name.

And Aunt Jemima was in use as a term for a "female uncle Tom" for at least 50 years before Edna Ferber's wrote Showboat.

From Wiki: The direct inspiration for Aunt Jemima originates from a minstrelsy/vaudeville song of the same name. Chris L. Rutt of the Pearl Milling Company saw the song being sung by blackface performers Baker & Farrell wearing an apron and kerchief, and appropriated the character.[2]

"I believe the matchmaker in Sholom Aleichem's Tevye stories was a man. Yente was pretty much created to appeal to American audiences."

I've often wondered if they chose Bea Arthur for the role as some kind of internal joke.

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