I've just discovered that Tareija is probably another form of
Theresa. This article on 14th century Spanish Leonese names gives Tareisa and Tareysa as forms of
Theresa:
http://www.ellipsis.cx/~liana/names/spanish/leonfarmer.html. They could easily have become Tareija/Tareyja in Portuguese. And Biringeira is definitely a form of
Berengaria.