1. Irish and English pet name for Patricia, from Latin "noblewoman".  It may also be a male pet name for Patrick but this use is generally restricted to Irish communities.

2. A US correspondent [MB] has written as follows:

"... throughout the southern colonies (pre 1776) and states, Patsy was a common pet name for Martha."

We are unable to formally determine the true etymology for this but note that Patty is a well-known pet name for the Gaelic Moireach, equivalent to Martha [Whyte]. Patsy is a clear variant of Pattie/Patty and we think it might have been adopted for Martha via the pet name Mattie/Matty in the same way that Molly has been transformed to Polly.