Just checked 1900 - 1920, no other Moss / Wardle marriages in Basford District on FreeBMD at least !
Might be worth checking elsewhere in case its 2 or more couples having kids in the Basford District, but married elsewhere and moved into the area ...
The index doesnt give full names of parents - and not Fathers at all.
Sorry, not up on adoptions - I dont think they got formal until the 1920s .... but someone on here will know - try a new thread to ask specifically....