Fannee Doolee likes any word that contains a double letter.
[2018 addendum: I originally wrote: “Now that you know the sort of thing to look for, the other answers for this column won't be supplied unless I become convinced that they're too hard to figure out...” But from the vantage point of 20 years later, that seems silly, especially because I had a hard time figuring one of them out. So I’m now adding answers for the others.]
Georgia likes any word that ends in a vowel.
Hal likes one-syllable words.
Isabel likes any word in which all the letters are unique (no more than one of each letter).