Reverse names??

[seabead22]

I have a few orchids that appear to be un-named hybrids (at least by my research) HOWEVER they are the reverse of already names crosses.

Examples include:

my plant is Blc. Oconee x Blc. Cateechee which looks to be a reverse of Memoria Mickey Boatwright

this one is slightly off... Pot. Hisako Akatsuka 'U.G' x Blc. Oconee which i THINK is a reverse of Pot. Linda Phelps which is Pot. Hisako Akatsuka `Volcano Queen' and Blc. Oconee `Mendenhall' **this one is going to bloom soon so I can post a pic when it does.

What does it mean when someone reverses a named cross? Is it unique still? Can it be given a new name?

Thanks!