This was another of my childhood toys that L has inherited. Like the Bunny, it's gotten a little worn out, especially the elastic. The basket cover used to be held on by drawstrings (now missing) and elastic - now it is pinned together with about 18 tiny saftey pins (I vaguely remember doing this in my bedroom one summer). I couldn't find any patterns for basket covers, although I did find this nice one for a cloth doll basket.
I kept the handle cover and the pillow the same, but I whipped together a new cover for the basket out of a green sheet - less ruffly than my grandmother's version. It needs to have some pretty ribbons sewn on to hold it together around the handles, but right now it just has safety pins. Some things never change.