The next Princess Teishi, the mansions that she inherited were Biwa-dono Palace on Konoe Oji (aka Yomeimon Oji) which runs through Daidairi's Yomei-mon Gate, and Oi-dono on Oi-no-mikado Oji which runs through Daidairi's Ikuho-mon Gate, so her title had a "mon" because of that.
続く禎子内親王・てい子内親王も、伝領した邸宅がそれぞれ大内裏の陽明門に通じる近衛大路（別名を陽明門大路）に面する枇杷殿、大内裏の郁芳門に通じる大炊御門大路に面する大炊殿で、それに因む門院号であった。