I figured I'd just reply here so other people can see what I wrote in case anyone else is interested.
Per the Rutherford Hayes Family Library, George Hayes(d. 1725) of Windsor, CT was Rutherford Hayes first known ancestor.Rutherford Hayes was descended through George's son, Daniel(b. 1684) from George's 2nd marriage to Abigal Dibble(b. 1666).George Hayes's 1st marriage was to a Sarah who died shortly after childbirth in 1683.
That seems to be documented facts.
I have read that Hannah Hayes was born in 1672 in Windsor, CT(see site below).The final site below also lists Hannah Hayes as a child of the aforementioned George Hayes and Sarah.I emailed the person from that web-site with no response.There sources are listed, but seems like it is just pedigree/ancestory files that may be inaccurate.
I am more skeptical after reading your post as Isaac Hayes is not listed as a child of George Hayes.Of course, it is possible that Isaac and Hannah were both children from the first wife, Sarah, but there seems to be no record to suggest that.
It also seems reasonably plausible based on the quote that Hannah ? had a sister who married Isaac Hayes.I'll let you know if I find anythign.