The roll on the image is the one commissioned by the State of Alabama and taken at the end of 1864. Ascerbus Brookings is the last one the page. You'll notice that late enlistments (including conscripts) are given last in each letter group, so he's the last of the Bs. Ancestry assumed that the dittos in the date of enlistment meant same as stated previously. In this case that's not true. We know from the soldier's service file that he was enrolled in Alabama on May 26, 1864. The next page on the roll would list any battles or skirmishes in which he was involved. There are none, just a note thathe died in July 1864. The actual date was August 3, 1864.
Company "K", 4th Alabama Regiment, was recruited in Jackson County. Since Jackson County lay behind enemy lines much of the war, conscripts had to be assigned to keep it up to strength. Brookings was simply one of those conscripts.