Can you get shingles if you have had chickenpox . my 23 daughter has just been diagnosed with them?

Yes: You must have had prior exposure to the varicella zoster virus to get shingles, and the majority of people who have been exposed to the virus have had overt chickenpox. I can't tell which your daughter has been diagnosed with: shingles or chickenpox. Anyone diagnosed with shingles, especially otherwise healthy young adults, should be tested for hiv, since it can increase the risk.

Yes: Essentially all of the patients with shingles have had either wild chickenpox or the vaccine at some point in their life. The shingles represents a brief and localized re-activation of the virus that went into hibernation after the first illness or vaccine.

Shingles: Yes. That is what shingles is: a reactivation of a previous chicken pox infection.