Shozan SATAKE, a feudal lord known for his association with the lord of the Kumamoto clan Shigekata HOSOKAWA who was known for his hot temper, Yoshimi SATAKE, the family head of the Northern House of the Satake clan (the Keeper of Kakunodate-jo Castle), as well as statesmen including Tadakuni TASHIRO, Katsutaka OGITSU, Torakichi SUGAWARA and Torazo SUGAWARA, a painter of the Kubota clan, were all among Naotake's painting disciples.
直武の絵画における弟子としては、蘭癖大名として知られる熊本藩主細川重賢とも交流のあった藩主佐竹曙山、北家当主（角館城代）佐竹義躬、藩士田代忠国・荻津勝孝・菅原寅吉、久保田藩御用絵師菅原虎三などがいる。