The family is recorded in the 1803, 1804, 1805 census of Skirö online at https://app.arkivdigital.se/volume/v21832?image=155
Also online at https://app.arkivdigital.se/volume/v21834?image=28, where it says that Daniel is born in Stenberga and that the family moved to Vetlanda in 1819.
Daniel's birth record in Stenberga is online at https://app.arkivdigital.se/volume/v36155?image=171 - it seems to us that it says that his mother was from Farstorp, which is 6km west of Stenberga.