In my town, there are three churches named “First Baptist Church.” They’re all “competing” denominations, meaning that each pastor preaches that the others are in serious error on some tenet of faith.
The Methodist churches I’ve noticed go all over the place in naming.
Some are named after the neighborhood: “Fairlington United Methodist Church”, “Crossroads United Methodist Church”.
Some are after saints: “St. John United Methodist Church”, “St. Matthew United Methodist Church”.
Some are just utilitarian: “First United Methodist Church”.
We Mormons are pretty boring in comparison to what y’all have related. We just use the community name and, if there are enough of us there to have more than one ward (that’s what we call the congregations), then we number them: Davis First Ward, Davis Second Ward, etc.
There are St. Mary’s Episcopal Church-es, but AFAIK none that pick up on some attribute of hers (partially because we don’t believe, as a faith, in most of the Mariological doctrines).
The oldest Episcopal Churches in America are named after the location, e.g., Bruton Church. Most of the next-oldest and a large share of the newly formed ones are named after a theological doctrine, a person of the Trinity, or an event in Christ’s life (call this Category X). But the greater share of them, founded in the 1800s and early 1900s, are named after saints, mostly but not completely Apostles and Evangelists.
A few Methodist churches are named after saints, but most after either the category X above or leaders in early Methodism and events in their lives. (Asbury, Aldersgate, etc.)
Polycarp: Let’s not forget all those Saint {Name} Episcopal churches which have “by the sea” or the like as part of the church name. Last one I remember seeing is Saint Thomas by the Sea, Panama City Beach, Florida.