I think it likely that Michael and Mary Ann married before they crossed the water. I don't think Michael was in the 1871 English census, and I can't find a marriage for him.
Any of these birth certs would give the mother's maiden name.
Births Jun 1872 DUFFY Ellen Cockermouth 10b 546 Births Jun 1874 DUFFY Mary Cockermouth 10b 583 Births Dec 1876 DUFFEY Ann Jane Cockermouth 10b 566 Births Jun 1879 DUFFY Catherine Carlisle 10b 509
There were 2 mary's born 1874. Mary Duffey, Q4 and Mary Duffy Q2. Ann Jane Duffey Q4 1876 and Catherine Duffy, Q2 1879 If you send for the certs, you can specify parents so they will only send you the correct ones in Mary's case. bob
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Cumberland: Graham and Greenop Yorkshire: Altass Scottish Isles: McLean