I have Brochmann's 1934 collection, "Sang Fra Sjøen." It has a handful of Wergeland's shanties, in their own section. His intro to the sections says they might be sung to any of the popular shanty tunes/choruses. When he gives the texts, he does not prescribe any particular chorus; they are only solo verses.

Stan Hugill drew from a different text by Brochmann -- in which choruses must have been prescribed. Subsequently, Hugill seems to have taken these at face value. In his own collection, he gives songs as Norwegian versions of "Rio Grande," etc. However, so far it doesn't seem like they really were.