I like the passing of the name, the connection, without it being a full [name_u]Lawrence[/name_u] jr. situation. I think it’s endearing and bet any daughter with love for the parent it came from would appreciate it. [name_u]Wren[/name_u] as a nn is a bonus
I know a girl named [name_u]Lawrence[/name_u] (family surname in her case). I think it is usable on a girl, especially with the nickname [name_u]Wren[/name_u], which is adorable. In my opinion, go for it!