On the emigration record of Maren Andersdatter b ca 1848 (wife of Peder Mikkelsen Degn and mother to "your" Jens), she gives her birth place as Elsø (= Elsø sogn, Morsø Sønder, Thisted). This differs from the census notation of Lødderup.
Need her marriage record or death record to identify her parents. There's a candidate Maren Andersdatter in Elsø in 1850; I don't see a similar girl in Lødderup. As one option you could ask about her in a separate new thread, referencing this thread.