Thank you both for your fantastic efforts.
It seems the divorce may be the correct one.
I wonder at the census records (are they census?), perhaps she reverted to the name Littleton. Throughout my own searches I have come across others named Amelia Littleton also born in England.
I don't think there were any children, she had none in her 1st marriage of 3 years, and none in the 2 years she was with WH. She was a lady of very fine features, very tiny stature.
I will see if I can find access to the newspaper you have mentioned to see if there are any further references.
The site you have refered to is a very good site about Bully Hayes- not as sensational as the newspaper articles and books which were written about him.