I agree, name picking should be a team decision. It's one of the first times you get to see how the team decision dynamic will work with your team.
When deciding our name for Spectrum I think it took us about 4 hours and it was the final name suggested. Some of the others on the list pangea, something something kittens, duct tape was involved in several of them. Lots of them were bad but we ended up with a brand we really like.
We looked at this list to see if any other teams had similar names:
https://my.usfirst.org/frc/scoring/i...?page=teamlist