Notes:

Covetous Lillie: I want Ash's Pikachu
Stinger Lillie
Trying her hardest Lillie
Front teeth Lillie
Persistent Lillie: I'm gonna scream!!

All of these end with "bari" (yokubari = covetousness, dokubari = stinger, ganbari = to do ones best, funbari = to persist) besides front teeth(maeba) and Lillie's name begins with "ri" in Japanese so they're combining "Lillie" with all these words. They also combine the "ri" in her name with the sfx for shaking(buru) to make "buryu"