She is looking to have you take the days when she wants to go out in the weekends.
I have a rotating schedule where we end up alternating and the following week we each have them opposite of the week before. I can post if need be. It may seem confusing but it is fair to both of us. I have also heard some people go week in week off
You can steer this ship and do it together. Why do refer as when she gets them as you dropping them at home?
M 37 W 34
T 12 M 8 D 7 S 4
Need break 4/12/15 W no ring 7/7/15
Separate room 4/12/15 Separate living suggested 8/15 W moved out 11/1/15