In a court filing last week, lawyers for abortion clinics said they will seek to recoup $1 million in legal fees and nearly $24,000 in expenses.
Williams says no suspects are in custody. Officers were canvassing the area seeking witnesses.
Graddick is a former two-term Alabama attorney general and a circuit judge in Mobile County.
A grand jury later indicted Jones for manslaughter after deciding she intentionally caused the death of her fetus by starting the fight.
Jones was five-months pregnant when she was shot in the stomach in a December altercation.
Deputies say Mickey Paulk was caught Thursday night after fleeing drug investigators on a stolen motorcycle.
None of the documents have been made public yet.
An announcement released by the state Friday said the May jobless rate fell from April's rate of 3.8%.
Moore announced his campaign Thursday, seeking an eventual rematch against Democratic Sen. Doug Jones.
Moore told The Associated Press earlier this year that he was seriously considering another try in 2020.