Hilda Delvalle Barrion Neuvo, who is homeless, was arrested on East 78th Street on Manhattan's Upper East Side Thursday morning.
She was charged with stalking and endangering the welfare of a child.
Her son, 44-year-old Gabriel Uno, was charged with menacing, reckless endangerment and criminal possession of a weapon.
He was charged with throwing a table at a pedestrian on March 18.