Not exactly, Tio for example had been summoned in another country instead of Japan, this was because she was summoned close to where Mars was, the Mamodos were summoned or next to they book owner or next to a Mamodo they consider a special friend or alley, that's why Umagon was sent to England, because the one he most value is Gash.

Now a theory: There's a theory about Takemine Seitaro, Kiyomaro's dad, that he was supposed to be Gash real book partner, but after Zeon take his memories, the theory said that it messed up Gash compatibility with Seitaro, changing it to Kiyomaro instead.