My first trace of here is an October 1869 marriage to Chester Clark, Jr. in Bangor, Maine. this is inferred from the 1870 census, as is the fact that she was about 8 weeks early having her first child. There are a few Ann Cunninghams in the 1860 census close enough to have caught Chester's eye, one or two from Ireland. It's less a question of finding an Ann as to showing its the right one. Several boat records exist, not overwhelmingly convincing relative to the others.
I have DNA matches in Donegal, on the Monaghan-Louth border, and in Clogherhead, Louth with ties to Cunninghams and the clan was given 5000 acres of Donegal farmland and a castle in the early 1600's. Related by DNA are Reilley, Kirwan, and Matthews so far. The best matches and majority of them link Clogherhead.