Hi and welcome to BW
I am not sure if she has been sleeping through before this? Reading your post it does sound as if the teething has something to do with it. It does take a couple days and they can really go off track when teething. Have you maybe tried giving her pain meds or teething gel ? It also sounds as if she could be going through a growth spurt if she is taking in a full feed during the night. Usually an indication of a growth spurt is that she will wake radomly and not the same time every night. this should however also only last a couple of days.
Here is the kind of routine you should be looking at at her age:
7am wake
9am sleep (1.5-2h)
1pm sleep (1.5-2h)
Between 5-6 catnap of 40ish min to get through supper and bath time
7.30pm bed
11.00pm dreamfeed (until 7-8 months or when solid food is firmly established, so you may want to let this go shortly)
At her age providing that she is getting enough calories during the day(except as mentioned if she is teething , ill or going through a growth spurt) shouldn't need a feed during the night. I wouldn't feed her during the night and use pu/pd instead. I think maybe you and your wife have become a prop, and it could be that she wants mom and dad around to get back to sleep. What you aiming for is to teach your dd to self-sooth. This is where pu/pd or shh/pat may work
HTH