When I first began making quillows (quilt folded and tucked in it's own pillowcase), I had what sounds like the same problem you are describing. I found that a "walking foot" for my sewing machine was the answer. It has feed dogs on the foot that lowers and helps feed the layers under the needle at the same time. Since my machine is a Singer, I contacted the Singer dealer. It was very reasonably priced and easy to attach. If you are interested in finding one for your machine I would suggest checking with a sewing machine dealer.It was a one time purchase and REALLY has saved me $ on headache medication. :wink:
Good luck with whatever you decide to do.
Sis