Sentencing, Recorder Ayesha Siddiqi said: "This happened near a school and in the presence of children, You were unable to control your behaviour in front of the children.
Doctors said they suspected a hairline fracture to her nose, however the woman did not attend a follow up appointment 10 days later as she said she felt a lot better, reports Lancashire Live.
In a victim statement, she said she was embarrassed and humiliated to have been attacked on the school run in front of other parents and children.
However the judge said there was a realistic prospect of rehabilitation and Kitching's child would suffer if her mother was sent to prison.
Jessica Kitching, 25, attacked the mother of her daughter's friend in September 2023 over a reported dispute between the two children.