When I first tried to find Chicken Scratch patterns, about a year ago, I found very little on-line about the craft. This morning, I Googled "Chicken Scratch embroidery" again, and got lots of hits. I didn't find many patterns, but lots of pictures to use as guides.
From what I've seen on many of the sites, you could just trace whatever design you want - animals, birds, butterflies, hearts, etc. - onto the gingham, then do your own version of the Chicken Scratch. I've seen examples where every square was embroidered, as well as examples where the design was just outlined in C/S. Both are very interesting and very pretty.
So, don't give up - try Googling again and see what's out there now.
Madelyn