I have no personal knowledge of the family but I did notice that Robert and Frances were living with her mother Eleanor in 1901. Eleanor was buried 1915 and at the time was living at Clematis Cottage the same address as a Robert Arthur Faragher who was buried in 1963 aged 64.
If the year was 1936 it would fit but it's a long shot. It then poses the question , who is this Robert Arthur ?, i can't see him in the 1901 census
Len Faragher