No they are all names for the hen who got hit on the head.Could have been Chicken Little that got hit in the head and Henny Penny was another character in the book or even in another book. I had forgotten Chicken Little. Been so many decades gone by in a flash since I was in the first grade.
I was confused for decades!
I learned both Henny Penny and Chicken Licken as a child.
I met Chicken Little as an adult when I was reading a friend’s kid’s book.