Verifying ancestors!

My G. G. grandfather Christian Larsen, born May 17, 1835, and baptized in Faaberg parish, illegitimate son of Lars Bruget and Marthe Olsdatter Geitrud (Gjedrud). My problem is Lars Bruget. He is mentioned as the father in the Brottum bygdebok as Lars Bruget of Ringsaker, but the only other clue to is identity is on Christian Larsen's confirmation record which says father is Lars Christensen, which means his father would be Christian, and mother is Martha Olsdatter in Lillehammer Faaberg parish. Birth place Gjedrud. I have been searching the Digitalarkivet for Lars, and yesterday came across. Yesterday I came across a Lars Christiansen, born 1810, in the church book from Hof parish, Hedmark, 1790-1815, whose parents were Christian Larsen and Maria Hansdatter of Grenogen. Then going back to the 1801 census, I found Christian Larsen, age 11, in Hof Parish, whose parents were Lars Olsen, 45, and Kari Olsdatter, 48. How can I know for sure that these are my people? The names and ages are reasonable. The name Maria for Lars Chrstiansen's mother is reasonable, since my Christian, 1835, named his first daughter Maria so that would be after his grandmother. If I could verify these people I could really fill in some gaps on my family tree!