There are no income and homestead value limits for categories 4V, 4S, 5, and 7. The. Eligibility information on Homestead Exemptions; How to file a property protest in Franklin County.The Nebraska homestead exemption program is a property tax relief program for three categories of homeowners: A. Persons over age 65;. B. How to Apply for Homestead Exemptions Homestead applications must be filed with the county assessor after February 1, and on or before June 30 of each year. Enter your search criteria in the fields on the right. Overview of Nebraska Taxes. Please fill out all fields before submitting your contact request.