"Martin will play Prudy Pingleton, Penny Pingleton's overprotective and often closed-minded mother who doesn't approve of her daughter being best friends with a rebel like Tracy Turnblad," a press release said.
Martin has received more Tony and Drama Desk Award nominations as a featured actress in a musical than any other performer, NBC noted.
She most recently won both awards for the 2013 production of "Pippin." Her other stage credits include "My Favorite Year," "Young Frankenstein," "Oklahoma!," "Candide" and "Noises Off."
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