Baptism of my Great Great Granfather and cartoon as to what I imagine he looked like

I have this copy of the Baptism of my great great granfather name "Patrico Madera" who was borin in Rancho Ximulco of Huejuquilla El Alto, Jalisco, Mexico and baptised in the Parroquia of San Diego de Alcala Church. I attached with it a cartoon as to what I imagine my great great grandfather looked like with the style of clothing worn back then (That is how I would dress). He has facial features of some of my present relatives and even me:

http://img163.imageshack.us/img163/7546/patriciomaderaximulcohu.jpg

My great great grandfather Patricio Madera is the son of Juan Venancio Madera, "Espanol" of Rancho De Los Maderas - one of the several Ranchos in the vicinity of the pueblo of Huejuquilla. Juan was born around 1764 in Rancho De Los Maderas of Huejuquilla El Alto, Jalisco, Mexico and is the son of Francisco Madera of Rancho De Los Maderas.

Patrico had a son name Calixto Madera De La Paz who is my great grandfather.
From what I was told from a distant cousin that also likes geneology research, that our great great grandfather Patricio Madera wore a colonial triangular shaped hat. I don't know what the term is used for that type of hat. Do any of you know?