😢Please help can’t get woke up for baby!

So baby is 4 months old and for the last 3 weeks I have had the hardest time waking up to take care of her. I get up make her a bottle like a zombie give it to her and then I go straight back to sleep. Not Intentionally. I feel like a horrible mother and I’m trying to blame it on the colder weather but I think it’s more exhaustion than anything. I work full time and on 3rd shift so I can’t sleep when the baby sleeps bc she is at the baby sitters at night. 8 weeks ago my mom was admitted to the hospital bc she was very very sick so we was running almost every day to see her we have also been trying to move her closer to me so I can help be a caregiver and then I have also taking care of all the mom things like dishes, laundry, baths( well anymore I bathe with baby to), cooking and cleaning.. I never have any R and R time and my plate has never been this full.. thankfully for the most part hubby has been doing just as much. I tried taking 2 days off work last week to maybe reset myself but it didn’t help any. So does anyone have any advice to help me be able to wake up with my baby girl? I don’t like waking up crying bc I just realized she layed in bed over an hour bc mommy couldn’t wake up for her. I really am trying to be the best mom I can. If you don’t have any advice to give than will you please just say a small prayer for me. Thank you!