Call from 60 year old deceased tenant’s ex-partner?

I received a call from someone saying they were my long-standing 60 year old tenant’s ex-partner. She told me that, since he died in his sleep a week ago, she and his daughter have nearly finished clearing the flat and are just about ready to hand back the keys.

From our brief discussion and her answers to my questions, I have absolutely no reason to disbelieve anything she has told me.

My understanding is that my tenant left no will and that his next-of-kin was his only daughter who will be the beneficiary of his estate.

With regard to the tenancy:

1) The agreement is a 6 month AST commencing in 2009 which lapsed into a periodic.

2) Rent is up-to-date.

3) Deposit is held with DPS via their custodial scheme.

I am happy for the last monthly rental payment to be the final payment and expect to return the deposit in full (though I suspect this might be easier said than done, as DPS will have no tenant to communicate with).

I want to keep things as simple as possible but suspect that there are some formalities to consider, other than simply getting back the keys.

Your advice would be very much appreciated.

Ian