Thanks for taking a good shot at this, Bo.
His father's name could well be Anders, as I have found Peter Andersson and Petter Bergson (maybe Bengtsson?) with same birth details and family.
I found his name originally as father of my GG Grandmother Greta Pehrsdotter b.1/3/1806. In GID 638.22.95400 Skaraborg, Järpås page 621 5th entry. I read them as being Torpanfolk (crofters?) in Larback under Ruslebacka.
In Larback, the father is Peter Andersson. See GID 1529.1.23400 Skaraborg, Höra page 123.
Without exploring the whole trail, I found his death in 11/11/1812 in Kullen. See GID 1529.2.29400 page 30.
Greta's mother also undergoes name changes, sometimes being Andersdotter and sometimes Johansdotter. All the records have other information (DOB, children) which seem to confirm her as the same person, despite having her name wrongly. I have only done a couple of weeks research so far, so there is a lot more checking that I still have to do.
I would be very grateful if you could give your opinion of my interpretation of these 3 records. Many thanks.