Hi @Brendan M Hornung. Yes, in Alabama the tenant is liable until you find a new tenant. If you are confident you can re-rent it within a certain time frame, you might offer to let her buy out of her lease. It you think you can re-rent it in three months, then let her pay 4 or 5 months rent to buy out of it, with part of that being a credit for the security deposit money, assuming there are no damage deductions. If she can't afford a lump sum payment you can still agree to a lump sum buyout number, with payments made over time.
That way, you avoid accusations you are not trying hard enough to re-rent the property. Also, you might actually re-rent it in 1 month, but you still get to keep the entire buy out purchase price. Make sure the buy out agreement is worded properly though so it is not a prepayment of rent that will be due in the future.
You must refund the security deposit or provide an accounting of sums deducted from it, within 60 days of lease termination. This is true even if you do not have a forwarding address for the tenant--in which case you mail it to the premises. If you miss your deadline, you are liable for double the security deposit plus legal fees.