I think you are right when you say that you do not have a life. You seem to think that this is all down to you, but you are part of a family, so shouldn't you talk to your partner? You say that he works so much because he loves his job, ie not because of money, but if that is the case, it seems to me that he is behaving selfishly and hurting all of you and you are letting him get away with it.
Your DP needs to understand that he has responsibilities to you and his DD and to himself as well, beyond being an income earner. Life isn't the same as it is pre-kids and that means everyone has to compromise. In any case, you can't keep going 100 hours a week without implications for your physical and mental health - hence his need to spend Sundays on the sofa. What would he think if you spent every Sunday on the sofa? Because you also need a break and it sounds like your body is telling you so. Childcare and housework is monotonous even when we love our kids, but especially so without adult company. It sounds like you are doing more than 100 hours a week of childcare/housework + freelance work with no breaks, no time to yourself and no adult company. No wonder you seem depressed!
When does he get to spend time - alone - with his daughter? Does he even have time for a relationship with her? Has he ever taken her to the playground or on an activity? If not, he is missing so much and so is she! I also don't see how you can ever have a family life if he is always working or sleeping. When was the last time you all went for a walk together? And what about the two of you? When do you get time just to be a couple? Does he ever cook you a meal or look after any of the household duties?
You also need your own time, when you are not a mum or a partner or a worker, ideally out of the house. Tell your DP that for an hour or so a week you want to be the one who gets to do what they love for a change. Is that so unreasonable? You could go for a run, go to the library once a week and read a book without interruptions, or to a cafe to sit over a cuppa and meet a friend for a gossip. When did you last get to have time out with your girlfriends and talk about that lovely Tom Daley or how someone should have stopped George Michael after one song last Sunday?
Please tell me if I have the wrong end of the stick here, but you sound as if you are quite sad and need some changes in your life. Can you and your partner sit down and have a good talk with each other? It sounds like he is so caught up in his work that he has no idea how you feel, but how can he know unless you tell him?
I hope this helps. x