If you don't actually know the name of your ward councillor, you probably shouldn't vote for them.
My ward councillor pitches up at every electricity repair or burst water pipe (even at 3am), communicates constantly and has generally had a horrible time because she gets shat on any time anything goes wrong...
But I know her name and have her number - as do thousands of people in my neighbourhood. If she switched parties, I'd probably switch my vote and go with her.