Börgel Jonsson Fernell (1607-1671) the son of Jon Persson and Elin Olofsdotter?

[Kevin Casey]

Hej!

Several online sources have Börgel Jonsson Fernell (sometimes named Börgel Jonsson Dresk) listed as born in 1607 in Sommerstad, Visnum, Värmland, and died in October 1671 in Gåsborn, Rämmen, Värmland. These sources also have him as the son of Jon Persson and Elin Paulina Olofsdotter (I believe this family is referenced here: https://forum.genealogi.se/index.php?topic=70056.0 ).

I'm looking for any primary sources that might substantiate the claim that Börgel Jonsson Fernell is actually the son of this Jon Persson and Elin Olofsdotter (and then the common claim that Jon Persson is the grandson of Nils Finne and Rakel Engelbrektsdotter!).

Thank you,
Kevin