If you go to Monmouth County home site, County Clerk, Archives, Searchable Databases, Marriage Search, and type in husband's last name and wife's last name as VanCleef, it shows they were married on 25 Aug 1801, marriage performed by Smock, J. If you click that link they will forward information to you. You may be able to find his parents name and exactly where he was born. He is buried at the Holmdel Community United Church of Christ Cemetery, Holmdel.
You can also just put in the husband's last name and all Crawford marriages are listed between 1790-1890.
Good luck in your search.