Charlee,
The darning attachment that lifts the regular presser foot is called a Stoppax.
Here a picture (very blurry) that shows the tiny lift that the presser foot gets. The lift is adjustable. The instructions call for only a 3/16 lift. I would assume that even less would work for a thinner fabric sandwich.
I also attached two pictures of the instructions.
[ATTACH=CONFIG]322029[/ATTACH]
[ATTACH=CONFIG]322030[/ATTACH] [ATTACH=CONFIG]322031[/ATTACH]