Fray Marcos De Niza en Mezquitic, Jalisco, Mexico (1667)?????

I was going through baptismo records of year 1667 of pueblo Santa Catharina which is recorded in Mezquitic Catholic Church records and noticed the signatures of "Fray Marcos De Niza:

http://oi61.tinypic.com/2dmccpg.jpg

https://familysearch.org/pal:/MM9.3.1/TH-1-18739-78525-87?cc=1874591&wc=SS5X-YWP:172249801,171934802,172249802

I looked him up:

http://es.wikipedia.org/wiki/Marcos_de_Niza

Is that the same Marcos De Niza? Who is supposed to have been born in 1495 and passed away in 1558.