Hello Linda.Fulkert (and all the name variations you can imagine) was a fairly common name for Dow (Douw) men from the Dutch families in PA and NY, and I have not ever heard the name Catherine connected to this family.There is a Catherine Van Dyke who married a Falkerd Dow in Somerset Co., NJ in 1825:
SOMERSET COUNTY MARRIAGE LICENSES--1795-1879
Dow, Falkerd and Catharine Van Dyke, Feb. 12, 1823 (Fisher).
So they could be your family.I don't know of any connection I have with them.
For kicks, I have included the census info I have on my Fulkert and Margaret, as they indeed were married in Somerset Co., NJ (1803) and lived in western NY until Margaret died in the 1830s.Fulkert and his son, Richard, then moved to Venango Co., PA in the late 1830s.
I wish you well in your search.These Dows did not leave very good trails, and it has taken me 10 years of searching to find what I have.I still do not know my Fulkert's parentage.
New Richmond, Ohio
1810 Census, Ovid, Seneca Co., NY - Faulker Dow, 10010, 10010, which is one son and one daughter 0-10, one man and one woman 26-45. Fulkert would have been 33 by my figuring. Son is Richard, daughter unknown.
1820 Hector, Tompkins Co., NY census, p3
2001 -- These pages are part of the Schuyler co., NY Genweb page. 1820 Census, ...
fulkurt dow 2 1 0 0 1 0 1 2 0 1 0 0 0 0 1
That is, 2 sons 0-10, one son 10-16 (Richard), and Fulkert 26-45 (he was 43), one daughter 0-10, two daughters 10-16, and Margaretje, 26-45. I think that the "1" at the end is for one person working in Agriculture or commerce, but I may be mistaken. I believe that it is not for a slave or other outside person.
1825 Hector census, p. 1
1999, 2000 --These pages are part of the Schuyler co., NY Genweb page.1825 ...
dow, fulkard 4 4 1 2 0 0 0 0 0 0 2 1 0 0 0 0 0
1840 Census, Bath, Steuben, NY - Fulkert Dow - One man 60-70, one female 20-30, one female 30-40. Fulkert, according to our records, was 63 in 1840.
1860 Census, Sugarcreek Twp., Venango Co., PA -Fulkert Dow, living with son Richard and family, age 83, born New Jersey, no occupation listed.