If a house is owned by three people (common in tennat)and one member dies. Can their heirs get their names put on the house deeds and if so do they become liable for a share of the maintenance to that property? There is no mortgage outstanding.
I'd say yes and yes.
In fact even if they didn't get their names registered they would be liable to a share of maintenance unless they formally declined the inheritance altogether.
dzug is right. Of course the beneficiaries of the will could sell their share to the other tenants in common, or somebody else entirely if they could find a buyer.