When person dies without a Will they are said to have died "intestate". In that case, a deceased estate will be distributed according to the intestacy laws of the state where they legally resided at the time of their death. Typically, a person's spouse, if any, and the their children; otherwise to the children. Such is the case in Indiana.
Here is a link to the applicalbe statute for your review: http://www.in.gov/legislative/ic/code/title29/ar1/ch2.html