OR there is this family.
(So you can see why we need a bit more information - we could choose either family and carry on but one of them must be incorrect).
James GRAHAM born 6 Sept 1914, died Jan 1983, Carlisle. is this your grandfather?
I think this could be his Birth reg James GRAHAM Dec qtr 1914, mmn
WALKER 10b 1090
other births that could be connected
George 1916 D qtr 10b 977.
Ethel 1919 d qtr 10B 1206
There is a marriage of
Ethel WALKER to
John J. GRAHAM in 1914 June qtr 10b 1210 Carlisle
Those 3 births and the parents fit with a 1921 entry in Carlisle - we are not allowed due to copyright restrictions to give you detail from the 1921. you can look at a part for free on FindMyPast, you can purchase an image for a set fee without having to join up to FindMyPast.
https://www.rootschat.com/links/01tb8/These births are all available as a £3 instant jpeg from GRO.Gov.Uk.
There is also this birth
Margaret Monica 1913 M qtr vol 10b page 1139. which is before that marriage. I don’t know who she belongs to.