Hi Charles, you got me going when I saw a posting as my Ward's of Dinnington are elusive and I thought they had turned up.
Yes, I do have the pub website at http://www.rotherhampubs.f9.co.uk
I can't see Lydia listed anywhere else in my records.
I can only assume that Lydia ran the pub after her husband as many did, but I have no records prior to Lydia.
I assume you saw George ran the Bridge in 1839-1846.
I also have the following Ridgeway's
Elizabeth, 1822-1824, Black Bull, Masbrough.
Mathew, 1852, Foresters Arms, New Zealand Yard, Bridgegate (Post Office now there).
William G, 1877-1885, True Britton Inn, Westgate.

Hope this Helps.