1) The name Limeliters was assigned to the group by a promoter because they didn't have a name yet and had played at a club called The Limelite. Don't blame them for it if you find it offensive.
2) What I don't understand is why the Limeliters have rewritten their own history. Wherever I've looked, they refer to the band as originally consisting of Alex Hassilev, Lou Gottlieb and Glenn Yarborough, and then they say that Red Grammer replaced Glenn when he left, etc., etc. That just isn't true. Ernie Sheldon replaced Glenn for two albums, and I still have one of them. Yet all the Limeliters website materials I've seen and all the introductions I've heard them make from onstage omit any mention of Sheldon (best known for almost nothing, but perhaps for writing the song "Seattle" that became the theme song of the TV series "Here Come the Brides").
I asked Gottlieb about this once, and he politely changed the subject. Makes me wonder what Ernie did that made him persona non grata.