Hi DrJ, I had a similar horrible picture when playing another game. Shark pointed me to the possibility that there could be some pieces missing: either not loaded in memory, or not completely downloaded from the share.
This hint helped a lot. When I downloaded the game freshly from the share, all the problems were gone and the girls were complete again
It worked the second time, not sure what happened the first time it loaded but I thought it was funny. To be that guy it would be an awful experience though.... "oh my god they disappeared! And my penis too!"