Further to my last message, I have been able to contact a 'Bitting' member in Stadt Coesfeld, Germany.

They have provided me with information that the name 'Bitting' comes from the language of the Romany Gypsies, and means 'pauper' or 'beggar'.

If anyone has any further information about the origin of the surname (further to what is already on Rich Bitting's site), please contact me.