i think its probably a combination of habit and teething, he age, and also needing comfort.
i think if you didnt feed at her night she may well wake less, but that isnt always the case!
with my boys at this age i would feed them at bedtime and then i tried shushh/pat and they gradually got so they would go longer at night without a feed, at first it was just the first part of the night wehre they didnt feed, then that stretched out so 7pm-1am then it gradually got so they went from 7pm-5am at which point they would be in bed with us (having started off in the toddler bed) and that was fine by me!
we have a futon with a toddler bed next to it, so the crawling, fallingout wasnt an issue and tey would start off int he toddler bed and then at some point crawl into our bed (it is right at the end of our bed adn the same height) and then eventually they just started sleeping longer and longer in their own bed.
we never left them to cry tho, i would try shushh/pat etc or cuddles but i did feed them if they were upset and they needed it, buti was very boring, no talking or playing etc kept it dark, quiet etc and did the minimal i needed to to help them go back to sleep. like i said it wasnt a quick fix but it did work for us and seemed much kinder than leaving them to cry which i could never do.
is there anyway her bed could be in your room so you dont have to get up and go to another room, or put a mattress down on her floor and sleep there for a bit maybe?