One of my kitties has several pieces of fabric that he considers lovies and gets them out and drags them around the house. So they are now his.
I baby sit my great granddaughter and I have a small quilt that I lay in the floor for her and my cat drags his lovey up next to it so he can be baby too.
He is the one in my avitar.
I have to wash all my quilts once they are finished, with four cats it is impossible to keep the hair off.