continuing again...
Jacob who married Priscilla was the son of Loyalist Captain Peter Ten Broeck (of Butler's Rangers) and Anna Herkimer, and was himself a Major in the 4th Lincoln Militia.
You might also be interested in seeing the entry for Petrus ten Broeck on page 13 of this document by Mary Lou Cook. While I have not scrutinized the document it appears, at a quick glance, to at least give sources and ultimately links the Loyalist Peter Ten Broeck lineage back two generations further than Wessel and wife Cattryna Loockermans.
I have not seen anything to refute the ancestry your mom gives and a fair amount of evidence that, while not definitive, taken as a whole tends to support her version. To recap, the hypothesized paternal line incorporating the various sources given in this and previous responses:
1. George Alfred; b. 1875 (date 26 Oct); m. 1895, Florence May MALIN
2. Joseph Louis (or Lewis);b. abt 1846; m. prob. abt 1870, Margaret CORCORAN (or Cochrane)
3. Peter Wepill (or more likely Wessel); b. 1802; m. 1839 Hellen ALQUIRE
**Wikitree profiles already exist for the following starting with Tenbroeck-77**
4. Jacob; m. 1797, Priscilla READ
5. Petrus (or Peter); b. abt 1735; m. 1758, Annatje "Anna" HERKIMER (or Herchheimer)
6. Jacob b.1700; m1. 1725, Christina van ALEN
7. Wessel; b. 1664; m. 1684, Cattryna LOOCKERMANS
8. Dirk Wesselse; b. 1638; m. 1663, Christina van BUREN
9. Wessel Wesselse