We have community in our name, and I think it fits us pretty well. We try to be very welcoming. We also have our location at the end as there are several "Community churches".

With a name based on a "mission", or your mission statement, you'll surely attract newcomers. But your congregation should be aware of the convictions that name will add. In other words, if your name is "Grace UU", I'll expect to be welcomed graciously. It's a bit tricky. Like having some inspirational quote on the bumper sticker of your car. You'd better be conscious of that at all times,on the road. Or someone will just call you a phony. We've all seen the Jesus sticker on the car speeding through a red light.

The Unitarian Universalist in York, PA calls itself a Society.

What is really in a name? I don't think a name on a marquee or carved sign is as attractive as a message under it identifying what it is, you know, something like "An All-Inclusive Cogregation" or stating core values like "Truth. Service. Justice." Every congregation eventually develops it's own character, even numbered ones. In the end it is whatever works and whatever a majority agrees upon, so pick a winner!

Why not something original like All Souls???

Interesting question. What is the pressing reason to change the name? Is there confusion with a neighboring congregation? My original church was the First Unitarian Universalist Church of Nashville. A splinter congregation formed out of a conflict, The Greater Nashville UU Congregation, but I don't think there was any confusion.

I'm interested to know why the move to change.

All (less than 10) of the congregations that I’m aware are named by locality. That doesn't make it right, but I can see how it makes sense since people will probably search by location.