What is or are the mechanism(s) behind the naming conventions for a church building or organization?

What is or are the mechanism(s) behind the naming conventions for a church building or organization in a denomination, say Presbyterianism? This question can be reworded as "When churches assign names to themselves in this fashion 'First Presbyterian Church; Second Presbyterian Church; Third Presbyterian Church', are they accounting for the fact that there are other Presbyterian churches in the locality (regardless of the sub-denomination or organization name, evangelical or mainline) or that there may be other churches in the **EXACT** same sub-denomination under Presbyterianism and that one Presbyterian church chooses to name itself as a way to distinguish this Presbyterian church from that Presbyterian church?"