After trying to find connections to Uriah Schermerhorn, I am back to my original "hunch." I've been relooking at some of my prior research on Henry P Schermerhorn.
I have long suspected that Henry P. Schermerhorn (1825-1882) is the son of Philip George Schermerhorn of Portlandsville, NY. That would make Henry's son, Phillip Gordon Schermerhorn (1860-1939), his grandson.
In the 1830 census, I see two sons listed under the "NY Philip" as being 5 and under (one listed as 6-10). In 1840 census, I see that one of the younger sons is listed as being 10-15 years of age. In 1850, only one son is listed under Philip's census. But in the town of Laurens, I see Henry P. Schermerhorn listed with his wife Sally Ackley. This would be correct, time-wise, since Henry would have been married and living on his own at the time of the 1850 census.
Also, the "NY Philip" is listed as being the second blacksmith in the town of Portlandville, having moved from Schodock, NY in 1826. "My" Henry worked as a blacksmith after moving to Floyd county Iowa in 1855 with his wife and two daughters (Nancy and Louisa). His son Philip Gordon Schermerhorn was born in Marble Rock, IA in 1860. Henry married Sally Elizabeth Ackley (of the James Ackley family) of Milford, NY and moved "out west" with the entire Ackley family during the Western Expansion.
The locations, census' and dates would highly indicate the Philip–to Henry–to Phillip connection. Most family trees only list one son in 1850 and many daughters. I've heard mention of the Schermerhorn/Kittle family Bible that could have some documentation but I have been unsuccessful in locating its current owner.
Any suggestions of where to look next?