Sinnott says he probably died young, but she made the mistake of thinking this John's sibling, Jaentien, was a male and another name for John. However, Jaentien was a girl's name. It is very possible, then, that his John Bodine survived and had a family. The information below might then relate to this John Bodine.
FamilySearch.com does list a Jan and Kate Bodine (b. 1704 and b. 1708 in New Jersey). They married about 1735 in "Old First" in Somerset, New Jersey.