Okay, I looked up Barely There.
https://www.swirlygirlsdesign.com/st...sible_Web.html
It sounds a lot like Misty Fuse with a paper backing. (I have added a paper backing to Misty Fuse by ironing it to parchment paper.) I don't think that product will work for turned edge applique; it is designed for raw edge applique. It would be really nice for that because it will keep the applique soft. The problem with using it for turned edge is that you can't leave the paper on and, if you take the paper off, the remaining web does not provide a hard edge for turning.