Hi, thank you for your question. Just a bit more information required to fully assist you:
-How old is the child?
-What assets do you have?
-Do you have a will in place?
-Is your ex-partner able to provide for the child's housing and day to day needs?
Thanks for confirming. At this time she would be entitled to child maintenance based on your gross salary, which you appear to be paying. If she is unable to afford suitably accommodation to house herself and the child she has the right to pursue a court application under the Children Act for you to provide funds or properties for the benefit of the child (so long as you have the assets and she can fully demonstrate she has no ability to fund any suitable accommodation herself.
In relation to inheritance, the mother does not inherit you. Your child will automatically inherit you, but this will depend if you are married at the time of your death and the value of your estate. You should therefore consider putting in place a will - however, if the mother is financially dependant on you and if there is no reasonable provision for your child in your will, they would both be entitled to apply for reasonable provision from your estate, even if there is a will in place. The court will then assess fully whether any reasonable provision is justified.
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If you remain unmarried and have no will in place your child or children will inherit your entire estate in equal shares. If you are married and have no will in place your wife will inherit your estate up to £250,000 and if there is any estate above this it will be shared equally - 50% to your wife and 50% equally to your children/child.
If you have a will that provides absolutely nothing for your child and you have been providing for the child in the form of child maintenance, there will likely be merit in the child pursuing a claim for reasonable financial provision from your estate.