There is no problem with the tickets being in the name of the purchaser, it is necessary to wait for the confirmation email of your order, then just issue the e-tickets and take the tour using your cell phone or printing the tickets.
If you purchased the ticket with third-party cards, it is necessary to present a copy of the front of the card and the holder's ID on the day of the tour.
Remember, in case of half-price tickets, do not forget the supporting documentation of each referring person.