dd is 17 weeks old and keeps scratching her head so badly that it bleeds and scabs. I've filed her nails to almost nothing but she still manages it. She escapes out of scratch mitts and I've run out of ideas.
Mothercare baby grows have the scratch mitts attached IIRC. She wont be able to pull them off as they are part of the gro like Tinkerbell said and you just unfold them and tuck them over, should do the job
Just scratching when she is going off to sleep? My DS used to do that when he was tired so I used to swaddle him until he was in a deeper sleep then unravel him. Did the trick until he was out of his scratchy phase.