Turner Memorial AME is not in Shaw. It was at 600 Eye Street NW in 1957. It is currently in PG County Maryland. As you may know the synagogue at 6th and I is there, and according to their history page, Turner AME was at 5th and P St (a Shaw church?) and bought the synagogue in 1951. In 2002 Turner AME put the church building up for sale.
Quick look at the survey page, it was a large Black church where half of the members were unskilled laborers. So a working class African-American church. The survey says it was at 5th and D, but the Turner Memorial website says it was founded in 1919 at 5th and P, so let’s go with that.
CS 54 Turner Memorial AME by on Scribd