The proposal would provide benefits to same-sex partners of city and county employees.
Indiana had a three-month averaged unemployment rate of 8.5 percent, triggering an extension of federal unemployment benefits.
A wrongful death lawsuit has been filed on behalf of Alisha Brennon, whose partner, Christina Santiago, was killed in the accident.
Under current law, families must apply for the assistance within one year of the service member returning home.
About 30,000 Hoosiers are once again eligible for unemployment benefits.