My First Band. (is that a Playskool toy?) The year was 1987, we were a '70s-'80s rock cover band, and sitting around trying to come up with a band name. I don't remember the other submissions, but as a joke I said "How about The Schmaltz?". Everyone loved it--except me! but since it was actually my idea, I couldn't veto. Such were the loose and unwritten bylaws of the group.
And thus was born The Schmaltz. I think we had maybe 2 paying gigs (one of which included a by-necessity (another long story) extended-to-20-minutes version of Pink Floyd's "One of These Days") before our bass/guitar player left to go peddle his religion. Good times, good times.
After The Schmaltz came a couple more bands, but since this is the thread about first band names, you don't get to know them. And I'm absolutely not going to tell you the name of my current band. It's just too horrific to put into print.