I searched on the subscription site Roots Ireland and the only possible baptismal record for Anne was a March 29 1819 record for an Anne Boughan in the Tynagh RC parish parents were Patrickj Boughan and Mary Mooney.sponsors were Patrick Fahy and Catherine Fahy. I would treat this record as a lead.
I did not locate a possible marriage record.
The 1855 Griffiths Valuation head of household listing for Duniry civil parish shows James Darcy in Lackabaun townland.
James D;Arcy died in 1890 see ninth record
1911 census http://www.census.nationalarchives.ie/pages/1911/Galway/Tynagh/Lackabaun... NOTE Anne indicated she had 15 children but only 7 were iving in 1911
I only located baptismal records for two children Mary March 24 1849 Ballynakill and Michael January 30 1851 Ballynakill.