S.B.
Hi Jen - congratulations on the baby! I didn't have an illness and for the first month or two it was easier to keep the baby with me (although not safe I know :o)...
My girls found their own schedule between 2 and 3 months. I was always told not to wake a sleeping baby so I didn't and they did find their schedule. It is hard, I know - except it did work and others tell me the same thing. I was also told that you cannot spoil a baby within the first three months so that is the time to hold and comfort her when crying and if she starts crying during the day/night I picked my girls up during that 3 month period. At exactly 3 months my girls did go in the crib and when they cried I let them cry for their age in minutes (i.e. 3 minutes at 3 months, etc).
I would suggest, if you aren't doing it already, to try distracting her during the day. Put her on the mat and give her tummy time while you are there, do things that would force her not to go to sleep during the day (until nap time). I would try to stay away from the swing because I think that may make her sleepy :o) If you believe in TV then put a baby einstein video on and let her sit in the bouncy and play a little. My girls did love that too.
Good luck,
S.