There is no Hebrew verson of the name "Frances". Her hebrew name can be anything you want. Many Jewish women named Frances have the Hebrew name P'nina (×¤× ×™× ×”) but this is just a tradition; the names P'nina and Frances are not related.
Frances = ×¤×¨×× ×¡×¡
Frances Sage's birth name is Frances Satz.
Frances Liberace's birth name is Frances Zuchowsky.
Frances Linden's birth name is Frances Martin.
Frances Langford's birth name is Frances Newbern.
Frances Lozada's birth name is Frances Lozada.
Frances Kissling's birth name is Frances Romanski.
Frances Horwich's birth name is Frances Rappaport.
Frances Bergen's birth name is Frances Westerman.
Frances Fyfield's birth name is Frances Hegarty.
Frances Faye's birth name is Cohen, Frances.