This is just a guess.....
in the parish of "Hof i Jarlsberg" in Vestfold, there are farms called both "Hoijord" and "Lørdal". In the neighboring parish of "Botne" in Vestfold, there is a community called "Sukke". Looks like Vestfold might be a good place to start a search.
Do you know when they left Norway?
The 1911 census for London says that Hilda and Ingeborg were from Jarlsberg. The present county of Vestfold was formed by merging Jarlsberg and Larvik. The old area of Jarlsberg is presently the eastern half of Vestfold. This appears to confirm my suspicion that the family originates is the eastern half of what is now Vestfold.