Three bullets grazed Aida Lopez as she was standing on Griffith Street Thursday afternoon.
Police say she was the unintended target of a man who was in a dispute with another group of men.
Lopez is in stable condition Jersey City Medical Center, surrounded by family members who are just happy the grandmother is alive.
"She's in good spirits," daughter Nancy Lopez said.
Nancy Lopez was there when the shooting happened.
"She fell down," she said. "I saw her shaking, I realized she'd been shot."
Nancy didn't wait for an ambulance, rushing Aida to the hospital herself.
She was eventually transferred to Jersey City Medical Center, where doctors were able to stabilize her condition.
"Three bullets grazed her," nursing supervisor Charmain Efill said. "She's a very lucky person."
Her family is angry and frustrated that even a 70-year-old woman is not safe in Jersey City.
"These kids are crazy," son-in-law David Santiago said. "Out of their minds. I don't whether it was an accident, just retaliation, it's crazy.''
Aida Lopez could be released as early as Friday. Meanwhile, the manhunt for the fourth suspect continues. Those in custody have been identified as Malik High, Tyquan Goodwin and Travis Rivera.