I am from Moroleon, Gto, Mexico and I am a Pizano. It is interesting that my old birth certificate listed Pisano not Pizano.
I strongly abelieve that Piz(s)ano comes from Italy. But we have no records when the first Pizano arrived in the village that belongs to Moroleon, Gto. All my uncles, except my father who died at early age, have/had green eyes and are/were white european. My ancestors were/are landowners(terratenientes).
There are also Pizanos in Nueva Italia, Lombardia and Aguililla, Michoacan... Maybe those Pizanos passed through Moroleon, Gto on their way to Michoacan.