I have a etching 'Mullin Sur e'Epte-France", "Water Mill in France", by Paul Lecomte
Numbered #576. It is authorizesd by the France Etching Society. Any idea of value and
when was it done?

The first thing that I would suggest doing is to check out the information that you will find on the following link on this site. https://www.askmehelpdesk.com/art/paris-etching-society-szl-read-155531.html

I will also do some checking to see if there is any information available on the Internet about that particular work.