"Blend of La- and Trina"
The name Latrina is commonly a female name from the "American" origin.
Latrina is best explained as a modern American formation that joins the La- prefix, a common element in US birth records from the 1950s onward in names such as LaToya and LaShonda, with Trina, an established short form of Katrina. It first appears in US birth records in 1959, which fits that pattern rather than any older naming tradition. The name has no recorded meaning in a source language of its own.
The pronunciation of Latrina is luh-TREE-nuh.