So, its possible that Patty Thayer was the daughter of Thaddeus Thayer and Rhoba Smith. I don't have great sources though. This is coming from The Memorial of the Thayer Name, which isn't entirely reliable. In the initial listing of the family she's listed as Polly, and then later in her own entry she's listed as Patty. The family lived in Dummerston, VT. Its also entirely possible that Patty isn't their daughter. Although looking at the 1850 Census, looks like he had a son Thaddeus which sounds promising.