I wrote a long post and lost it, so here's another one, though I'm going to abbreviate.
I feel for you going through this especially with a new baby. Yes, the baby is part of the cause for this. She's running the show, S., and you've got to get ahold of your household and take the reins.
It will be hard, but I truly believe that if you do this, it will help you all. You don't say what time you are waking her up in the morning, or what time you will be getting up when you do go back to work. So, first of all, she needs the SAME time every morning to get up - even on the weekends until this is all straightened out. If I were you, I'd make it an hour after you will normally get up for work. That way it won't be too hard to back it up an hour when you go back to work.
Next, she needs a REAL schedule. Wake, dress, breakfast, play, snack, play, lunch, nap, snack, dinner, quiet play, bath, bed. Every single day.
The nap you have allowed her to have is not working, period. Back up her nap to 1:00. Wake her at 2:00. Don't let her sleep more than an hour. At first, she won't nap. She will act awful. Put up with it. Just no napping other than 1:00-2:00. After brushing teeth and bath, have your HUSBAND sit in the middle of her dark room in a chair pointed toward the door. He should not talk to her, hold her, or rock her. If she gets out of the bed, then he puts her back in her bed. Even if it's 20 times. Put a little potty in her room and when she starts about the pottying, she has to sit on the potty in her room. Daddy does NOT talk to her. This might take a week, but after the first couple of nights, with Dad not catering to her in any way (REALLY), she will get tired of the hystrionics and without a 3 hour nap, she will be tired and go to sleep.
Once she is really on this new sleep schedule, have him start moving the chair closer to the door every night. It will get to the point that he can stand in the door for a few minutes.
Only when you get the night time problem handled will you be able to get the daytime handled. When she has a tantrum, put her in her room for her to cry. Don't let her out, but don't let her know that you are outside her door. Without a captive audience, she doesn't have a reason to continue the tantrum. Only let her come out after she stops all the screaming. Do it EVERY TIME. Without exception. NEVER give her what she wants when she is having a fit. If you do, you are just asking for tantrums.
You need to turn the TV off in the daytime. It is counterproductive to what you are trying to accomplish, having it on, even for noise. Instead, you need to play music for her. Sing songs with her. Don't use the TV for a babysitter.
It will take weeks to work on this. If you do all this, without caving in, without getting mad and yelling, without losing your cool, she will come around. What you CANNOT do, is let chaos reign in your home. You must keep a cool head, and so must your husband.
Good luck - sending you strength!
Dawn