The answer to this question would depend on a number of factors:
How is title to the property held (i.e., single owner, joint ownership with survivorship, tenants in common with children, etc.)?
Does the owner of the house have a Will?
If so, what does that Will provide?
How old is the child?
If there is no Last Will and Testament, then the laws of the State apply to the distribution of the property upon the death of the owner. These laws must be researched to determine the progression of distribution for your personal situation.