Why are people only focusing on one family? Both groups were wrong.
I have a feeling the mother wacked the other chick with her umbrella after the chick hit her or her daughter.
Prior to the fight, the teen is telling the woman to go on. She's talking smack to woman, but she's also stepping between her and the mother. It actually looks like she's trying to avoid a fight until the chick threw the first punch.
Since no one was arrested or tossed from the park, (I'm shocked they weren't tossed out)I assume the woman admitted her part in starting the fight. Really, who starts a fight then screams for the cops when they lose the fight????