Nobody can 'inherit debt'. The debts of a deceased person must be paid from their estate. If the debts exceed the value of the estate then the creditors simply won't get paid.
HOWEVER (and this might be particularly relevant here) the executors of an estate have a legal duty to ensure that all debts are met where it's possible to do so, and legal action can be taken against them if they fail to fulfil that duty.
As an example, let's assume that someone dies, leaving nothing but a house worth £200k. He also leaves debts of £150k. A family member wants to buy the house but offers only £100k for it. The executors aren't allowed to sell it to him at that price, pay off £100k of the debts and then say to the remaining creditors "Tough luck, guys, there's nothing left in the pot". (If they do so, they can then be personally pursued for the remaining £50k, because it's their fault that it wasn't enough money available to pay off all of the debts).
So the executors of an estate are legally obliged to seek the true market value of a property when selling it to pay off debts. In the case referred to by Jenarry, it could be that (late in the day) the executors have been made aware that they were about to sell the house for less than it was worth, leaving creditors out of pocket (and putting themselves at personal risk of having to meet the shortfall).
Alternatively, of course, they could just be greedy bar-stewards!