N.O.
Well first I will ask if you have made sure that her caretaker is not feeding her too much. 1-1.5oz per hour of seperation is all that is necessary. Babies do have a natural sucking 'need', and will drink more out of the bottle because it flows faster then actually nursing. Their brains do not get the 'full' signal as quickly because they are not sucking as long, so sometimes it helps to have them use a paci for a few min after 2-3 oz to see if they are truly still hungry (when they go thru growth spurts they do sometimes eat more).
As for increasing supply: Fenugreek or mother's milk tea suppliments work great. Oatmeal also helps increase supply. I would generally have a bowl every morning. Nursing on demand when home will be the biggest help though. Even if it seems that you are nursing all the time (wearing your baby in a sling works great to be able to get stuff done and still give her full access to nursing), this is the #1 best way to increase supply. When you are at home she ONLY gets milk from you. Yes, your body WILL adjust to whatever schedule you ask of it.
At about 5 1/2 months is also when I started having the daycare give my son some solids. I would have them give the solids first, and milk afterwards (backwards of what you would want to do at home, where you would want to nurse for as long as baby wants and then offer solids). Doing this will decrease the amount of milk the caregiver needs to give, or feels like they need to give. I will stress though - ALWAYS, ALWAYS, ALWAYS nurse before solids when you are home. It will help keep your supply up. Let the daycare give solids the majority of the time till solids are a bigger part of your daughter's diet (my son was about 10 months or so before he was 'consistantly' eatingsolids). The first year really is mostly for practice anyways.
I successfully worked 40-45 hrs a week from the time my son was 10 weeks old, and did not end up needing to suppliment at all. I even ended up having extra milk frozen after he moved into the toddler room that I donated to another family. It is completely possible to not need to supliment at all.
Feel free to PM me if I can answer any questions from my experiences.