You're welcome,Dave.
I really do think that Charles Peter BATES is your "Peter". Are you able to access A*try at all to look at the trees on there?
Marriages Jun 1917
Bates Harry J E.Retford 7b27
Mills Bessie H E.Retford 7b27
National Probate
Bates Harry Joseph of 6 Hanover Road Norwich died 1 March 1958 at Curat House Restaurant The Walk Norwich. Administration to Bessie Heron Bates widow,
Births
Sep 1918 Bates Charles D mmn Mills Knaresbro 9a140
I think the "D" in the birth is really a "P"-very difficult to make out. So he might have just been called Peter by the family?
Marriage from one of the trees:
5 May 1940 Hampstead, Middlesex, , England
St Mary's Chapel Roman Catholic rites and ceremony Witnesses: G J Bates and B G Holmes.
Death: FreeBMD
Mar 1956 Bates Charles P age 37 Wandsworth 5d923