Maria de la Providencia Sinforiana de las Mercedes Rodriguez Barril

I found a newspaper article describing the achievements of students at the school Institucion Libre de Ensenanza Popular in Old San Juan. La correspondencia de Puerto Rico., October 11, 1893

This school was founded in 1882 and in the beginning used classrooms for night classes at the Institucion Provencial aka Instituto Civil de Segunda Ensenanza.

It was created to provide free education for the masses. The Provencial school was for children of people able to afford it.

Providencia and Ana Amador Barril both attended. Likely the other siblings attended as well. It isn't clear which Ana is the one mentioned in the newspaper article with Providencia.