1772 is a bit on the early side for an Anglo-American to be in Livingston Manor...not impossible mind you...but a bit early. If you have had no luck, you might want to check the Livingston Manor in Columbia County, NY (I know it sounds a bit silly, but there are actually two towns called Livingston Manor in the state of NY!?)
PS. John N. Tappen was my great grandfather. He was born October 18, 1753 in Dutchess County, NY. In 1799 he moved to Sullivan County, NY (town of Fallsburgh), where he died March 1846.