Normally, I pick the name of a Black home owner from the 1920 census who lived in Truxton Circle, and try to track their life in this DC neighborhood. This assumes the person at the house when the census enumerator came by was telling the truth or gave correct information. In this case I can’t confirm ownership or even if Ida Becher existed.
The land records for 1625 4th St NW start in 1938 and the owners are Edwin H. Silver and Ida Phelps Silver. I checked the 1933-1934 General Assessment, and it still had the Silvers were the owners. Then I checked the 1902-1903 General Assessment, and William Ruppert was the owner.
The city directory for 1921 has JW Stauback as the resident there. I’m not going to hunt the other city directories. I’m going to call this a dead end and a day.