According to the searching on FamilySearch, his mother Barbary Brinesthold married Adam Wentzell (his father), so Brinesthold must be her maiden name.
Adam Wentzell - Barbary Brinesthold Marriage: 20 Oct 1798, Cumberland, New Jersey
https://www.familysearch.org/ark:/61903/3:1:939Z-1Z9J-QF?i=43&p...
