The Parachute Lady makes several appearances on Courage the Cowardly Dog. They are listed below, in order.
Her first appearance was in Little Muriel, where she was seen on Courage's plane heading for South America. She was driven crazy by Little Muriel constantly running back and forth on the plane and being hyper, so she jumped off the plane with her parachute, yelling out "I can't take it anymore!!".
Courage Meets the Mummy
Her second appearance was in Courage Meets the Mummy, where she was seen talking to the mummified Mayan Baker on a plane, telling him random stories and general chit-chat, which the mummy couldn't stand so he jumped off the plane (the same way Little Muriel drove her crazy, a reversal of the situation).
The Tower of Dr. Zalost
In The Tower of Dr. Zalost, she was hit by one of the sadness cannonballs and became depressed like everyone else in the town.
In Snowman's Revenge, she was seen reading a comic book on the airplane, sitting between Courage and a giraffe, during Courage's mission to fix the hole in the ozone.
King of Flan
In King of Flan, she was seen buying flan.
In The Nutcracker, she was seen inside a grandfather clock and screamed when Courage opened it.
She was affected by the pink wave and shot a nearby person with a bazooka shouting, "Out Of My Way!" She was seen again during the end of the episode being cured along with the rest of the citizens.