Precious Sanders stole the 91-year-old woman's wallet as she was getting into her car in the parking lot of the Rite Aid on Philadelphia Pike in Claymont.
A passerby followed the suspect as she fled, and phoned police.
Sanders was caught by police and charged with third degree burglary and theft under $1,500 where the victim is 62 or older.
She's being held at Baylor Women's Correctional Institute on $10,000 secured bail.
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