My grandmother's Watergate Salad

I am a little confused about the name of this salad, I have heard it called Ambrosia but when I called my aunt and asked her for this recipe, she said it is called Watergate Salad. All I know is that my grandmother was not a good cook. She could burn rolls I tell ya. But she was good at making this. It's what I looked forward to every Easter, Thanksgiving, and Christmas. I am so glad we got the recipe before she died last June.

1 pkg Jello brand pistachio pudding
1 can crushed pineapple
1 large container Cool Whip
1 bag miniature marshmallows

Mix the pudding with the pineapple including the juice. Add Cool Whip and marshmallows. Mix.