They're being rude in my opinion

They're not being rude imo, they started asking her politely to leave, using "excuse me", "thank you" and all of that, but apparently that lady had been stalking the children the whole morning, so when the lady just kept trying to make a deal out of nowhere, they just stoped being polite. That lady thought that the kids would take orders from her just because she's the older one, but if their parents were in there, she would have just shut up and gone back to her house.

"Child ****ography" omg......does he even know what that is...
"Mother........FREAKIN' YES" bye

True, but why did they have to make jokes about her age that's stupid.

But then if she "dragged" back she would've been said she was stopping to their level, etc.

They're kids. Just let them play.

The fact kids even still want to play outside these days should be encouraged.

These kids are mean to her. They seem to purposely put the goal net thing facing her yard. So when the ball misses it will land on her yard. She is probably had enough and was probably trying to take a stand. And those insults were not necessary.