yoga studio client refuses to provide waiver info

I co-own a yoga studio in Nevada. Even though we have

studio liability insurance, we require every person to

sign a waiver when they first visit our studio, prior

to attending any classes. Some attendees, particularly

out of towners, will only provide their first and last

name on the waiver and sign the waiver, but will refuse

to provide other info requested on the form such as

their home address and phone number, or the name and

phone number of an emergency contact. In the event of

an injury on our premises we feel this information is

essential. Can we prohibit someone from attending our

classes if they refuse to provide this information? Can

we require that they present us with I.D. (such as a

drivers license) to confirm that the home address they

provide on the waiver is true and accurate? Thank you.