Historian Marc B. Shapiro writes:
R. Samuel Portaleone’s opinion that in theory it is permitted to give a woman an aliyah in a private synagogue. Without knowing of Portaleone’s view, R. Yehuda Herzl Henkin concluded that ”if done without fanfare, an occasional aliyyah by a woman in a private minyan of men held on Shabbat in a home and not in a synagogue sanctuary or hall can perhaps be countenanced or at least overlooked.” “Qeriat Ha-Torah by Women: Where We Stand Today,” Edah Journal 1:2 (5761), p. 6. (Henkin also assumes that women’s aliyot on Simhat Torah are permissible.) There is another source in this regard that has been overlooked by those arguing for women’s aliyot in so-called partnership minyanim (I hate this term!). R. Moses Salmon, Netiv Moshe (Vienna, 1899), p. 24 n. 112, sees no problem with women getting aliyot today. As mentioned already, women are denied aliyot because of kevod ha-tzibur. Yet according to Salmon, since today men who get aliyot no longer read from the Torah, kevod ha-tzibur is no longer a concern. This was all theoretical for Salmon, as no one in his Hungarian town was dreaming of calling women up to the Torah, but from the standpoint of pure halakhah, he saw no objection. He also claims that according to Maimonides, women can be counted in a minyan.