Honestly if I called a relative and expected them to take turn next time and months later they still didn't, I'd call them myself. I really don't fully understand this. I'd not make subsequent phone calls to someone I am dating if they don't call me. But I don't Use this tactics with family. Certainly if you called and she was nasty to you, then it's different. I do understand concept give and take but it seems to be taking a bit to extreme and at the end it causes you pain.
If you miss your nieces and nephews, you can contact them too. I don't understand keeping track who called who. It's time and energy consuming. Just pick up the phone. Now if you call and leave them messages and they never get back to you, then it would be clear they need space. But I wouldn't sit and wait for them to take turns