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On the 1871 census in Lancashire there is an unmarried James May, born in Ireland about 1850. Have you eliminated him from your search?
Plenty of time for him to cross the Pennines and marry the widow Mary Dunn, nee Murphy, in 1875.
The wedding cert you have should state the martital status of James before the marriage.
There is something not right about the birth of Mary Dunn's third child, Eliza according to 1881 census, but Elizabeth ( mmn Murphy) according to GRO birth reg. She was apparently born 3 years after her father died.
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?
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.