Thanks to these posts I have a lot more information to go on.
Erik Johannes Martin Andersen born 30 August 1879 from records of Lynge parish, Sorø (1867-1885 opslag 47), son of unmarried Margrethe Christoffersen and Paul Andersen.
The arrived in the US 4/10/1905 on the Caronia, headed for Anna's brothers Jens. Her brothers Hans and Jens also emigrated. Her brother Jorgen took over the family place, Eskimogaard(?).
Thanks for the help!