They wound up with a barely-set white but a pretty firmly-set yolk, which was peculiar.
Sounds like the egg version of Frozen Florida. A Baked Alaska is a cake with ice cream on top (both cold), and vaguely warmish meringue and hot chocolate sauce on the outside. Frozen Florida's the opposite: frozen ice cream and cake on the outside, gently warmed (via a short burst in a microwave oven) liqueur on the inside.

Someone should come up with a similar name for this inversely soft-boiled egg.