My Husband Drives me bananas

I work at night and he works during the day. however when he is not out fishing since that is what he does, he stays at home. Well these past two weeks he hasnt really had to be up at 4 am to get down to the harbour so i would think that he would let me sleep in and take care of our daughter in the mornings.
boy am i wrong.
like i said, i work nights and it is hard for me to come home and go straight to bed so i am usually still up around 2 am. and i get up with our daughter around 6 or 7 depending on what time she goes to sleep.
now tell me if i am wrong to ask him in the morning to watch her so i can sleep in? i mean really he gets plenty of sleep and i am on the verge of cracking because of lack of sleep.
so yesterday morning when our daughter woke up, i nudge him to get up and take care of her. what does he do? he rolls over and goes right back to sleep. so i get out of bed completely frustureated at the fact that i had asked him the night before to watch her. when he does get out of bed he wonders why i am so upset with him. so i tell him why- his responce: "you should have tried harder".
i was under the assuption that if i ask something of him to do it while he is still awake at night. that way he would remember to do it. now how many out there have asked their spouse to do something for them and they find a way to turn it around to make it seem like your fault if it wasnt' done?
should i set his alarm each morning that i want him to wake up so that he can take care of our child? i mean realy what should i do about this?