Van. Georgia Peach x V. falcata

[Fairorchids]

You might be confusing 'Grex name' with 'Cultivar name'.

Cultivar names are assigned by growers to their individual plants. These names are not recorded anywhere, unless the plant earns an AOS quality or cultural award.

Grex names are registered with the RHS in the UK. Once registered, it applies to all plants of this cross, as well as the reciprocal cross. In this case:
Van. Lou Sneary x V. vietnamica = Van. Georgia Peach
V. vietnamica x Van. Lou Sneary = Van. Georgia Peach

Georgia Peach is obviously a commonly used term in GA, but it has only been registered 3 times with the RHS, once each for:

Rhyncattleanthe
Rhyncholaeliocattleya
Vandachostylis