Note: (to any people asking for lookups or info:) it is very helpful

if you can cut and paste the 1881 census entry and any others that you might have.
I am not sure if this is the right family but here is a James Green, tailor for you consideration.
1851 Worcs census 2047/702
Redditch;Reg district Tardebigg
Walford Street
Edmund Green,head,m,41,needle finisher,Ipsley,WAR
Harriet Green,wife,m,43,needle stamper,Feckenham,WOR
Elizabeth Green,dau,u,19,needle eyer,Feckenham,WOR
James Green,son,u,17,tailor,Ipsley,WOR
Joseph Miller,vistitor,u,47,Ipsley,WOR
I can't find this family in Redditch itself in 1861. Do you have an address in 1871 for James? Or even better from your gggrandfather George's birth cert? Let me know and I'll have another look.
Couldn't find any Walter Barnett on the Worc 1851. Sorry, the 1861 I have is not name indexed so again would need an address to look for.