matroneum

The outer narthex was sometimes used as a hall of judgment and for other secular purposes, and, after the sixth century, as a place of burial, while the inner narthex sometimes called the matroneum, was used, probably for certain persons of rank or distinction, rather than as a women's gallery.

The Catholic Encyclopedia, Volume 10: Mass Music-Newman 1840-1916 1913

(which did not project beyond the aisles) served the purpose implied in the terms senatorium and matroneum.

The Catholic Encyclopedia, Volume 5: Diocese-Fathers of Mercy 1840-1916 1913