I do not want users to be able to use "I forgot my User ID/Password". How can I stop that from appearing on the login page?

It will not show up if the user has no e-mail address to send the notice to.

Bur why do you not want them to be able to recover their password? Seems to me that just will add more work for you when they have to contact you each time they forget.

This is a family gallery and I have only one user login and password, for the family users. I have a hard time getting some of them to remember the one user name and password. Can I use this so they can recover the password but not change it?

No, Zenphoto does not know the password and has no way of divining it. All Zenphoto can do is allow someone to create a new password.

So either you give of your family members their own user id or you will have to deal with their forgetfulnes.