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Glynn, according to GRO index George Junior was born in 1871 q2 and George senior died in q4 1871, George Junior died in q3 1872.
Hi Glynn, The only Irish birth I can find is this one.
Ireland Civil Registration
Name James May
Event Type Birth
Event Date 1 Dec 1848
Event Place Lahard, County Cavan, Ireland
Event Place Crahard, Cavan Union, Ireland
Father's Name Patrick May
Mother's Name Bridget Cumme May
On the burial records on this site there is a James May buried in 1922 in Crookes Cemetery with a Mary May and a George Johnson. Is this your James?