Put the married name. If she feels uncomfortable signing and prefers the maiden name, then add f/k/a. , formerly known as and the maiden name.
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She should use her legal name. She should make sure that the Final Judgment grants her the ability to return to her maiden name.
Morghan Leia Richardson, Esq.
Richardson Legal PLLC
31-08 Broadway, Suite 204
Astoria, New York 11106