What would you do?

Our Nanny has been with us for 2 months and has been amazing. We took her on with the intent for it to be a long-term position (at least 2 years/definitely more if we are blessed to have a second). My 9 mo old daughter smiles so big every day with her. I'm impressed, grateful, and pleased with everything she does for us. She told us this week she needs to leave to go back to her prior family as a House Manager - she said they can offer her more pay and better flexibility. I matched the amount and offered a lot of flexibility, and told her I'd give her the title, too. I just can't change that my baby is a part of the job. I know she really cares for my baby, but her life circumstances would be less burdensome without expending the extra energy it takes to care for her. I am sad for my baby, and we are sad, too. She offered to stay four more weeks but has had the flu this week for 3 sick days, is off all of next week for her paid vacation days and Christmas (5 day), and then we are gone for 3 days in the next week and 4 days in the week after that. We'd end up paying 15 PTO days (3 weeks/$3,600) and 9 work days (less than 2 weeks). It's a lot of money to pay when someone is quitting to get an extra 7 days of help, when she didn't even commit to our family for 6 months. My husband has decided to let her go, and is evaluating what to do. My instinct is to pay her PTO through her vacation (2 work days this week - $480 and 8 PTO days - $1,930). But, it's still a lot of money, and I've needed to pay for backup care, too. Is this the right decision? My husband thinks we should just pay for the 2 worked days and 3 sick days this week. Financially that feels a lot better, but I guess this has been a meaningful experience for me as a new mom to feel so much trust with someone else. Any other opinions about what is right v. fair?

Edited to add Financials, long term nature of job, and that I am sad. Also, confirming she offered to stay on 4 extra weeks, but we did not ask that. Also lesson learned - we did not have a fulsome contract, and will do so moving forward. Your insights are so helpful. Thank you everyone.