The comments to the video say that the clip was from a Gatorade commercial and that the ballgirl is actually a professional stunt woman who was on a wire.

Maybe they should give her the 6 or 7 figure paycheck to play outfield.

Nice plays! Thanks. I am not much of a jock. I think that baseball is the American game because:

It depends on a wide range of skills for all position.
Each player is responsible for a position, but must coordinate with the entire field.
The defense controls the ball.
Statistics matter:
you can strike out two out of three times every game, and still lead the league in Hits or Home Runs. (Babe Ruth famously led in both strike outs and home runs.)
you can be out and still get credit for the RBI.

If you walk, it is like you never went to bat - which is why Dominicans are so aggressive: you cannot walk off the island.

I just checked Snopes and it is staged. Damn!