She's accused of approaching the sleeping boy and his mother on a C train last Saturday and asking for money.
Police say after the mother asked her to back up and observe social distancing, the woman stepped on her foot before punching the 2-year-old boy in the face several times.
It happened right as the train was entering the 116th Street station at around 3 p.m.
The woman wanted by police is believed to be in her 40s.
Medics rushed the child to the hospital in stable condition. He's expected to recover.
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Exclusive: Woman describes violent attack on NYC subway train
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