If you get a chance to read the notes from our planning/discussion day you'll see we talked about the name Emergent and confusion with the title 'Emerging Church" as well, as the need for a name that expressed who and what Emergent in the UK is.
I describe Emergent as a 'clearing house for conversations'. Conrad who was at the day has some description of the need to look at a name change and suggestions for why it might help, here. I like his suggestion of 'Conversation' of 'Wavelength'.
So please read Conrad and then come back here and let me know what name you think might be better, or more helpful, or to leave it the same.