I introduce myself as Ruby at work, and as DS2 attends the childcare at the school/ children's cente where I am based, the children certainly know my first name. DS2's friends call me DS2's Mum, As there's a large Muslim/Indian/Bangladeshi/Pakastani population I get called Auntie a lot (and I'm relieved to hear that anyone over 18 can be called Auntie, it was making me feel elderly). Others call me Miss or Teacher (even though I'm neither). Library Lady is popular too along with just "Library" yelled across the whole of a supermarket.
I don't think I mind what I get called as long as it done with respect. The older children at work can use a first name with a snide inflection which really gets up my nose, but intention is everything isn't it? Children who have been brought up with no manners will be rude whatever they call you. Polite ones will be polite whatever they call you.
When DS1 was little I was called Aunty Ruby by his friends, and our older neighbours like to be called Aunty/Uncle Whatever by DS2. I always called our neighbours Aunty/Uncle Whatever, and it feels to me to be disrespecful not to teach your children to do that if that's what the adult wants.