If he has no will then your daughter will inherit everything under the intestacy laws and so should be thinking about her duties
( she doesnt have to administer her father's estate but it makes sense that she does )
and start to read about intestacy....
at something like this
http://death-duties.co.uk/content/executors-and-administrators
her Dad's estate will have assets and debts and once all the debts have been settled IF there is not enough money then your daughter is NOT responsible for the outstanding debts. If the assets are greater than the debts as they usually are then she will get the whole balance
BUT
alot of people who read that the debts die with the dead man, think the lucky heir can pocket the assets and tell the debtors to get knotted. This is certainly NOT the case
It is in fact quite straight forward - I offer to bereaved neighbours that I will help them with any forms and they usually find the wherewithal to fill them out by themselves and so then I dont get to see their money accounts .....simples