Amy's husbands fathers name was Alexander Claucherty arrived from Scotland around 1816 with wife, 2 daughters, 3 sons: Alexander, John and Samuel. About 1819 they settled in Catharine Town now Schuyler co. but then Tioga Co. Where ever they lived when Amy was married, was temporary as they searched for land. The spelling of the last name was changed years later.
I don't have her parents names. But in the Ithaca Tompkins Co.Library there is a book of " early settlers in Tom.Co" that shows a great number of Collins. NYGenweb has 1825 census for Hector, Tompkins there is a John Collins might be a lead.