I have been thinking about church names myself of late.
I've been wondering if church names contribute to the division we see today within the church (I'm referring to division between local bodies as opposed to division within one particular body).
We hear it all the time: "I attend ____ church." "Well, I go to _____ assembly." "We are part of ______ fellowship." "Our family gets together at _____ church of the _____."
I understand that we probably need some way to tell people who we gather with and where this occurs. However, in general it seems that we could just tell others that we are part of "the church." When we claim to be part of "the church," we are saying that we are followers of Christ. Also, when we say this, we are showing that we see ourselves as part of the broader church as opposed to just our local body. It could be a bit confusing at times, but I think in the long run it would be beneficial to the church as a whole.
It is interesting that house churches tend to have no specific names. House church folks usually just say that they gather together at a house. When asked further, they tell where it is and who is part of it. They almost never have a name that shows their separation from other believers.
I have to believe that the church as a whole would be better served if we just abandoned our names that show division. Why can't we all just be "The Church of Jesus Christ"? That sounds nice to me. If people seem confused about where we meet, then we can simply tell them.
Let's do all we can to foster unity of Christ's body. Jettisoning specific names might be a good place to begin.