Halvorson from Telemark

I am looking for information on my gggf Jacob Halvorson born 1860, I believe Kregero, in Telemark county. Jacobs Wife, Kari (born 1860) of whom we have no other information other than in a1930 census I found a immigration date of 1866 from Norway ( thought to be Drangedal but no proof). Jacob Immigrated in 1881, He supposedly had two brothers and two sisters, we have no information On his family. Jacob and Kari were married September 16th 1886, Jacob and Kari eventually settled in Webster, South Dakota, and had three children, Henry A, Clarence, and Alice. Henry is my grandfather. Jacob Died in 1910. Kari Remarried, to Andrew A Sandvig. And moved to Fillmore, MN. From an ealier posting, I was given information from the Digitaialarkivet: 1865- telling (37553/24) Sandokedal Kragero Oxebaasen ( store) Halvor Hovers. 37 Aleth Jorgensd 44 Hover Halvors 15 Jorgen Halvors 10 Jacob Halvors 6 Gro Halvorsd 13 Ingeborg Halvorsd 8 Anne H Halvorsd 3 Torine Halvorsd 3 This information fits Jacobs age close enough to look forward, but verifications alludes me.( I would be grateful for any help and suggestions where to go with this information ). Erik Halvorson.