Surely the OES membership requirements are spelled put in the Code for your GL. What does it say? If not there then they have to be stipulated somewhere.
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It's not entirely clear, but it would appear to preclude the mother of an existing OES member. Unfortunately there is From the Grand Chapter web site
Who may join: Only men who are Master Masons are eligible and only women with specific Masonic relatives may be members.
Affiliated Master Masons in good standing and any female relatives
who are related by birth, marriage, or adoption to Affiliated Master
Masons in good standing, or if deceased were in good standing at the
time of death; as well as members–either active for three (3) years or
majority–in the International Order of the Rainbow for Girls or in Job’s
Daughters International, each of whom having attained to at least the
age of eighteen (18) years, are eligible to membership in the Order of
the Eastern Star.