Thanks for your question.
It does not take very long at all for a person to make a Will (a matter of weeks, if not less).
If you are concerned that you may have a claim against your cousin's estate then you could try asking those that may know who her solicitor was and then try and get in contact with the solicitor who dealt with the administration of her estate. The solicitor dealing with the matter (or the executor) would have contacted you if you were a beneficiary under the Will.
If you would like to check the Will to be sure you should look to see if a grant of probate in the estate has been obtained a copy of her Will will be attached to it. You can search the probate calender to see if one has yet been obtained and they pay a fee to receive a copy of it. Follow the instructions on the following site:-https://www.hmcourts-service.gov.uk/cms/1226.htm
If no grant has been obtained you should make a "standing search" of the calender, which will notify you and send you a copy of the grant if one is take out within 6 months of the date of the search:-https://www.hmcourts-service.gov.uk/cms/1211.htm
The grant of probate will also have details of the executor of the estate so that you can get in contact with them to find out more information about the administration of the estate and whether you have any rights under the Will
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