There was no Arthur Charles Welham born in the midlands counties but on the 1911 census there is Arthur C Welham age 17 born Clapham,London, a Clerk at 222-223 Broad street,Birmingham,he appears to be a lodger.
1901 3 Victoria Place , Balham Hill,Streatham,London.
Arthur Welham age 44 b. Hadleigh Suffolk Commercial traveller
Florence age 41 wife born Aldermaston,Berks
Arthur C age 7 son born Clapham London.