It is not possible to assure you that that is the correct person for a match with so little information.Have you found any US records which list WHEN she immigrated to the US such as the 1900-1920 censuses?
Parish records for Søndre Land and it's subparishes would be available for events such as birth/baptism; confirmation; marriage and death/burial.There is an 1865 Norwegian census and possibly the 1875 (not entirely converted to database format.)There are also emigrant databases for persons leaving after the mid-1860s from the various ports of departure from Norway.
An example of a possible alternative match if your Ingeborg Marie was just a little bit wrong about her birth year (many emigrants were). Born 18 March 1860 in Søndre Land was the illegitimate female "Ingebor Maria" born to Maren Olsdatter and Johan Joensen (alternative spelling for Jonsen/Johnsen). http://www.arkivverket.no/URN:kb_read?idx_kildeid=9357&idx_id=9357&uid=ny&idx_side=-47http://www.arkivverket.no/URN:kb_read?idx_kildeid=9357&idx_id=9357&uid=ny&idx_side=-47