need help with Americanized surname

I have an ancestor who came in 1852, at the age of 9, from Heddal to Columbia County Wisconsin along with her parents and almost surely two older siblings. She married John Ambrosen in Wisconsin Jan 1, 1862 and her 1930 obit from a Wilmot, SD newspaper gives her maiden name as Bergit Leiquvam. Her first name varies in census records: Brita, Betsey, Bessie. But her surname remains this very odd spelling. Two brothers born in Wisconsin spelled it Liequam, as did her mother Ingeborg. I am trying without success to trace the parents of Begit back into Heddal records. Any suggestions on how I might spell the family name? All I can tell you about Ingeborg (born about 1820 in Telemark) is she had numerous US children and all have disappeared in US records under other surnames. Any leads will be appreciated.