The person legally entitled to inherit the property of someone who dies intestate(noun)
WordNet. Princeton University. 2010.
Use "heir-at-law" in a sentence
"You rightly remind me that this excellent uncle has hopes of his own mixed up in this affair, for he knows that if this boy dies intestate he will be his heir-at-law, whatever he may be in point of equity."
"All of these, therefore, descend by law to his heir-at-law."
"A ghastly white hue overspread every line of the wan features of the heir-at-law."