If you want to fix it 'right' I would suggest that you take down the drapes, remove a piece of drywall and install a piece of wood between the studs. You can then repair the wall and use screws instead of mollies to hold the curtain rod in place.

Moly bolts are not suited to hold heavy things that get regularly stressed. A lot of people do it, though, and end up with the result you got. You need to be able to screw into wood. There is a wooden frame to the window that's hidden behind the sheetrock, and if you mount the brackets close enough to the window, you'll find wood already in place.

Softball_80 and Kudzu9,

That's what I was afraid of, and that's why I haven't even looked for responses until today. I didn't want to see reality, but it must be done, so . . .

Thanks much.

Put wood behind the drywall. What the other 2 ppl said.