Council tax successful challenge, following probate purchase

JIL

We bought our current home following a lengthy probate.

The previous owners had passed away and had been in the property for many years.

I challenged the council tax banding successfully, it was an identical property  to others in the lower bracket, so was straight forward (albeit covid slowed the process)

There are 2 children of the previous owners. 

Would they be entitled to any refund?

I'm not really concerned about it, I just find that there is an ironic scenario.

We had a visit from debt bailiffs looking for one of the adult children. (We returned a number of letters from various companies as not known at the address)

It transpires they have an unpaid council tax debt at a rented property, they had lived at.
It just seemed a bit strange that the bailiffs are involved when actually they same department may actually owe them some money as next of kin. 

lincroft1710

The children would not be entitled to any refund. If a refund is due it would be paid to the estate of the deceased CT payer. The executor(s) of the estate should then distribute it as per the bequests in the will.