None of your income is double taxed. You must report all of your wages to your state of residence, Alabama. You will then be taxed on them. Since you earned wages in Georgia, you'll need to file a nonresident return in Georgia, but you can take a credit for those out-of-state taxes on your Alabama return to reduce your Alabama liability.
You can read more about living and working in different states here: Multiple States—Figuring What's Owed When You Live and Work in More Than One State