I didn't trace the Robinson line back. I do have the 1871 census which lists William (Blacksmith)and Esther living in what looks like Richard Street, Aston, Birmingham with their daughter Sarah aged 2, brother George and nephew Samuel aged 7.
Have you ever looked up information on St Andrew the Less, Cambridge? It sounds like it was an absolutely awful area.
Amelia eventually ended up in Aston, Birmingham too when she married.
Good luck with your research. It can get very confusing!