Shigeyuki's second child, Yukikatsu HOSOKAWA (later Yoshiharu HOSOKAWA) had been an adopted child of Katsuhisa HOSOKAWA, the Shugo of Bicchu Province, but he succeeded the Shugo family of Awa after changing the name to Yoshiharu, as Shigeyuki's legitimate child, Masayuki HOSOKAWA, died young.
なお、成之の次子の細川之勝（後の細川義春）は備中国守護の細川勝久の養子となっていたが、成之の嫡男の細川政之が早世したため、義春と改名し阿波守護家を継いだ。