Pedro Alcocer, the youngest of the three Alcocer brothers, was also a Jesuit and a poet from Quito. He was considered to possess an even greater poetic gift than his brothers, showing particular inspiration as a lyrical voice. According to chronicles from 1674, Pedro died young due to a stomach illness reportedly caused by his repeated fasting, cutting short a promising literary and spiritual life.
Source
Gallegos Naranjo, Manuel. Parnaso Ecuatoriano: con apuntamientos biográficos de los poetas y versificadores de la República del Ecuador, desde el siglo XVII hasta el año de 1879. Quito: Imprenta de Manuel V. Flor, 1879. Link