Alabama exempts your home from all state, county and city property taxes if you are over 65 with an adjusted gross income under $12,000, or if you have a total and permanent disability at any age or income. The exemption covers the single-family home you live in and up to 160 acres of the land it sits on.
Apply through the county office of the Alabama Department of Revenue where the property is located, not the state. Ask them to confirm the filing deadline for your county.
Proof of age or documentation of your total and permanent disability, proof that you own the home and live in it as your primary residence, and your income information if you are claiming the over-65 exemption.