How are parish names traditionally chosen?

We're undergoing a big flip in the diocese of Madison and almost all the that were churches canonical parishes before are becoming part of a bigger grouping of churches within an expanded parish boundary. There's lots of hubbub about what we're going to name the new parish, but I don't know that anybody in the parish itself has much of a say over such things. Are they decided by committee, from above, by popular opinion, by tradition (do we just keep the name of the central parish church) or what?