a piece of fabric like that would make a lovely little coin purse -you could get one of those purse frames and attach the fabric, or just do a sort of rectangle with a zip at the top, or how about a phone/ipod pouch or even a Kindle case if she has one - although you might need to add some other fabric.
I have a small (10 x15cm) scrap of gorgeous deep pink Harris Tweed. I want to make my mum a birthday present with it. I'm in a quandary about what to make.
I normally default to corsages, but I made her a felt brooch for Christmas, so I can't really do that. I have lots of other fabric I could use too, but definitely want to incorporate the tweed. I have a SM & my hand stitching is ok.