[Coach Keith]

Had a girl hit a temporary fence in the air today and the ball traveled up the fence and over (the fence gave way some and allowed the ball to travel up the fence.) The fence did not fall over nor did the ball go through the fence.

Is it a home run or a ground rule double?

Here are the ASA rules for a home run and ground rule double

H. When a fair batted fly ball strikes the foul pole above the fence level or leaves the playing field in fair territory without touching the ground or going through the fence. It shall entitle the batter-runner to a home run, unless it passes out of the grounds at a distance less than the prescribed fence distances from home plate, in which case the batter-runner would be entitled to only two bases.
110
RULE 8 - BATTER-RUNNER AND RUNNER
I. When a fair ball bounces over or rolls under or through a fence or any designated boundary of the playing field. Also, when it deflects off of a defensive player and goes out of play in foul territory, deflects off a run- ner or umpire and goes out of play after having passed an infielder ex- cluding the pitcher and provided no other infielder had a chance to make an out.
EFFECT: The ball is dead, and all runners are awarded two bases from
the time of the pitch.