後家 is read as ごけ (goke) and means widow.
ごけ
goke
こうほう
behind
こうしゃ
the latter
ごて
rear guard
こうせい
posterity
こうはつ
starting late
あとあじ
aftertaste
うしろで
putting one's hands behind one's back
ごしょうだいじ
with religious zeal
こうだい
いっか
(one's own) style
いや
head house (family)
くげ
Imperial Court