For the 1800 census, the only Blue Mtn Claus family is Christian's widow as I noted above. None elsewhere up there in Lynn, Heidelberg, or nearby. I checked over in Berks in Albany and Greenwich as well.
1810 census, there is a Jacob Claus in Heidelberg and Adam Claus and Christian Claus (this would be Christian Jr) in Lynn. So that's 3 boys total.
1820 census, Henry Claus in Heidelberg age 26-44, Jacob in Lynn 26-44, Adam in Lynn 26-44, and a new one, Phillip in Lynn, 26-44. I cant find Christian jr, but between the 1810 and 1820 records, that makes 5 which does match the 1800 census of males at home with ma.
Two of these Claus boys are buried in the old Ebenezer Lutheran church cemetery (Lynn twp church), Adam (II) Feb 9, 1781 to Dec 11, 1854 and Heinrich (Henry) July 22, 1789 to Dec 2, 1859. There may be others but some stones are gone and some are unreadable. I would almost bet most of them are there, just missing stones etc. Even if moving away to the next township over, distance is not terribly far and most people want to be buried with their people.
1830 census shows Henry in Heidelberg, 40-49 yo and Jacob inb Heidelberg, 40-49 yo. Nathan, son of one of these two, is not listed in Heidelberg until 1840 census. Allegedly his dates are 1812 to 1885.
Will try to find more verifiable info and try to dig up some church records.