Hi there and thank you for your question,
I will try to assist you with your legal question but please feel free to ask as many follow up questions as you like until you are 100% satisfied.
Your daughter's mother can't just move to another city/town and take your daughter with. You have a right of access to your child, and if the mother wants to take the daughter away, she is infringing on your right of access.
If the mother wants to move away then she can, but she can't take your daughter - especially if you already have a court order in place!
My advice is to tell the mother No, she can't take your daughter. If the mother refuses, then you must get the social working involved!
If my answer hasn't answered all of your questions, please send me a REPLY with follow up questions so that I can continue to assist you in this same thread for as long as you need. Let me know if you need more advice - dont just rate my answer as "bad".
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Good luck and best regards,