The short answer to your question is No- your partner would have no claim against your house. The position would change however should you marry. The only exception to this is that your partner would on your death be able to make a claim in appropriate circumstances under the Inheritance (Provision for Family and Dependants) Act. However as she already owns a house and is presumably of fairly independent means and not financially dependent upon you, such a claim would be unlikely to have any basis.
In making your will, you should include a clause explaining why you have not made any financial provision for your partner, and as a wish to leave your estate to your children is quite normal and proper, there should be no difficulty.
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• Get a divorce
• Have contact with my children
• Make a small claim
•Write a letter of claim
•Obtain a Grant of Probate
•Get legal advice and help with my case
•Make a Will
•Change my Name
•Prepare a legally binding agreement
• Sever a Joint tenancy
• Prepare a Partnership Agreement
• Sell a Jointly owned Property
• Appoint a Guardian for my children