You may find the above GED4Web link run by Martin Graville of interest he shows Winifred Mary Graville and also the Lightfoot connections. He supports pretty much what Dave & Moira have already contributed.
Sorry I do not know how to make it into a hyperlink on this site, maybe someone else can help with that.
Thanks to everyone who responded to my query. It gave me some clues to what to research and I found the answer in our own historical society. Jane Beaumont's paternal grandmother, Jane Graville Lightfoot was born in England (related to John Wesley) and immigrated to the U.S. as a girl in 1834. She was a sister to Winifred Graville's father.... so the two letter writers were first cousins, once removed. This thread got me going in the right direction!
I can only add that my wife and I, on arriving in Sheffield in 1979, moved into the attic flat at 21 Victoria Road, a large detached house now in a conservation area. The house owners (and residents downstairs) in our time were a couple of retired academics. I know their ownership did not go back anywhere near as far as the time when the house was part of the story told in this thread.
Quite likely we were in the servants' quarters, occupied by Florence Rosetta Charlesworth in 1911.