Parentage of Ana Francisca Gabadí (Gabay)

The line I am researching is documented through Ana Francisca Gabadí (marriage of her daughter Lorensa in 1623 and birth of her son Bernabé in 1618) or Gabay (from her burial record in 1652).

I have gone back and read the threads on the topic of Martín Navarro and Petronila de Moctezuma (beginning about 2006), and I understand that there is the widespread supposition that Ana Francisca is a daughter of Martín and Petronila. My question is this: has there been anything definitive since then (the 2006 and later threads) to establish proof of this connection?

I should point out that, while it would be fascinating to establish a connection to Moctezuma II, that is an historical curiosity; my purpose is to follow the genealogical leads wherever they go. I am currently reading Chipman's "Moctezuma's Children", which I purchased online from the UT Press—on-demand printing, quick service, and not expensive.

Prospero Año Nuevo / Happy New Year to all,
Lawrence Bouett