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If her father is still alive and has not made a WILL then your cousin would in fact have a claim on his Estate - but if he has already died, or has made a Will then she will not be able to make any Claim.
If the people she needs help form will be reassured then she can indeed sign a Declaration confirming that she has no wish to pursue a claim
I hope that this is of assistance - please ask if you need further details
Just to check - has she ever been adopted?
Actually it is unlikely that this would be an immediate concern of the family.
You can read confirmation that your friend would not be able to make a belated claim on his estate here
(See time limits half way down)
With regard to the Declaration there is no set wording frankly it is just a promise and accordingly unlikely to be enforceable in the event that there is no Will.
However if your friend wishes to use it as a sign of good faith it shoudl use the words
"I irrevocably undertake and confirm that I will make no claim on the estate of my biological father and in the event that I do any such funds received will be returned to the pther family members based on this contract" It would be best made before a foreign notary.