Thanks for your question.
No, there is absolutely no obligation or duty upon you to reveal anything about the Will you hold. You should give them enough information so that they can check their safe to see if they hold a Will (eg. name, address etc).
They will only tell you they hold a will (or should at least) if you are named as executor of the estate. Tell them you know this but would be grateful if they could pass your details to the executor and state that you hold a Will which you believe may have been the last will and testament of the deceased. No need to mention a date, if you do then they may just realise they hold the latest one not get back to you.
Hopefully you will find that one of the executors gets back to, if indeed it is not you.
If you have concerns about the administration of the estate then 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:-
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