I've left Walter for the minute - the "Pullin" entry was incorrect.
Here is a possibility for Laura. There is one other "Laura G Taylor" born Bristol, 1878. I'll check her out too. Rose could have been named after this Rosina.
1891 Census Bristol
12 Brixton Road
Henry Taylor, head, 38, Labourer, Washford Somerset
Rosina, wife. 38, Bristol
Henry, son, 14, Brass Polisher, Bristol
Laura, 12, Scholar, Bristol
Jenny, dau, 9, Scholar, Bristol
William, son, 5, Scholar, Bristol
Albert, son, 2, Bristol
RG12/1977
Folio: 6
Page: 6
Darcy