Ray B,
I was incorrect in my first posting. The Backs emigrated from England to the US in 1895 when my grandfather (William) was 4 y.o. The were sponsored by my great-grandmother's relative (a Glazebrook from Rodmell in Sussex). Our last name was changed to Beck. My great-grandfather was Kate's younger brother. He worked as a victualer in the Half Moon Pub in Kent, and for some reason according to family lore, was thrown off the Constabulary before that.
Kate and her son, Arthur, are listed on the 1871 census as part of her parent's household, but Arthur is listed as 5 y.o. although he would have been born around that time so the record seems erroneous. Her marriage banns to David Dray were posted that year, as well.
Thank you for info provided.