[quote=@Metamore]
It was actually their sister who isn't a Pokémon trainer, she just loves Smergle lol. Seeing as none of their family have Pokédexes (unless you intended for Ms. Mary to be aN ex-trainer), going through Eugene will be only way to contact home. 
[/quote]

Or they can have a telephone. This is an alternate dimension, and I can't help but think, "Why shouldn't regular people have regular cell phones, especially when we have devices than can convert the energy of wild animals into pocket sized balls."

Just my take on the subject. Lol