Heybertsin, Lambert, is listed in the census for Ulster County, N.Y. in 1689.
I am not related to this family, just passing on this information, which comes from a webpage called "Ulster County, New York, Census 1689." The link for the site is listed below.
Joyce
http://ftp.rootsweb.com/pub/usgenweb/ny/ulster/census/1689/c...