Mom's in Jail

So, I'm babysitting for this lil chunkymonkey. She is 4 days old! The mother is in jail, and the father works long shifts so I'm watching her from 7:00am - 6pm for at LEAST the next 6 weeks, which is the earliest daycares in my area will accept newborns. My husband said that this baby (her name is Lillee) is going to think I'm her mom! Idk if she will think that or not but for at least the next 6 weeks I will be spending the majority of time with her. I wanted to know what you guys think about that. And also, how you deal with letting them go? I'm pregnant now so I know my little one will be here soon enough, but I already care so much for this baby! I feel like I do even more so since her mommy isn't around. 😞 its a messy situation too, the baby is my husbands, ex brother in laws baby. So it's like she's still kind of in my family, because she's my step children's cousin, but I won't be able to see her and it makes me sad! How would you deal? Also, sorry if this post is all over the place. I'm not getting much sleep at night lol ❤️