Scarlet was also the first one I never played. I actually bought the game and then just didn't play it... Pokémon Blue for GBC when I was like 3 years old started it all for me re: video games.

PoP - Protegis Perpetua
HB - Computate Deis (not sure why...)
EotBH - Regio Perpetua
PR - Aquafinis Cato (Water-end Sharpened? Gull Knights?)
tEI - ???

Best guesses at the Latin:
??? - (the first one, no clue)
GS - Altae Albo (growing (high... grand...) white)
EL - ??? (a stretch, but maybe Orienti Vigo (Eastern Vigor, physical elfs?)
DW - Antiquus Dracones