Hello John,
I've a lot on Christina Calder's family, and a bit on William Reid's. The Calder's are related to my lines and came from and still live in West Calder (a lot of them). Christina's mother was a Greenhorn and I have their lines going back to about 1755. Christina died in Bathgate in 1932 and William in 1935 both buried in Bathgate Glasgow Road Johnston Cemetery.
There are two J Reid's on West Calder War Memorial, one is Sapper John William Reid, Royal Engineers, and I have his parents and wife, the other is listed as Pte J Reid, KOSB, and I've never been able to positively identify him. I've been researching all the names from the War Memorial in West Calder for many years and have traced the greater majority of them, I'll have another look, and check other sources to see if the James you identify can be confirmed.
I'll put together what I have and attach them once I check out this for you.
cheers .... Meg