Pooler family Cortland, Delaware, and Cayuga Counties

Trying to determine parents for Harvey Pooler b NY c 1810-1812. Census data places Pooler families in Cortland, Delaware, and Cayuga Counties. Another cluster appears in Herkimer County by 1820. So far, I have only searched on Familysearch and Ancestry, but have not targeted NY by way of NTG&B which I recently joined. Am willing to dig for the records and would appreciated any clues offered.
I believe they were protestant. They migrated to Ashtabula Ohio by 1840, then to Dane County WI by 1850. Thank you.