Hmm...
B is higher up in the alphabet, so it must be superior; however, Fairfield is a pretty respectable hotel chain, so points for them. Fairfield also has more letters in its name, so that's a plus, but the field is only fair. What if Bryant has an awesome field but didn't want to name their university Awesomefield University? Bryant has a y, which can be considered either a consonant or a vowel, so there is some confusion there, and you probably don't want confusion from a university that you're thinking of spending your money on, but sometimes people confuse where the e and the i go in the word 'field' so I think they're pretty even in that regard. What it all boils down to in the end is: I know a kid named Bryan, and he's pretty cool, so you should probably move to Maine and become a lobster fisherman, which has nothing to do with that kid Bryan, but sounds kind of fun.