Hej Lynn
I read your message and I thought I will send two pictures for your questions...
Sempervivum 'Beautiful' pink-red form, June 8th 2013
Sempervivum 'Weisse Wimper' June 17th 2011. I can't see any difference. Also the flowers like the green 'Beautiful'. Horst sometimes named plants from his garden. He thought there are seedlings but he had blackbirds in this garden. They was happy to play with the little rosettes... But this name would be very suitable for this beauty if the pink one is the authentic plant. No info from Mina available from her 'Beautiful'?