Cobb attended the University of Alabama School of Law, graduating with a Juris Doctor in 1981.

[3] Cobb was appointed as a judge of Conecuh County District Court immediately after being admitted to the bar.

[5] In 2004, Cobb served as an appellate court judge during the appeals case of Anthony Ray Hinton for his 1985 murder conviction.

Though Hinton's 2004 appeal was denied at the time, Cobb was one of the presiding judges that thought he deserved a new trial.

Cobb noted "I had never been so convinced of someone’s innocence than I had in Mr. Hinton’s case after reviewing all of the evidence", elaborating that "there were no fingerprints.

[9] She denied that her decision to step down was connected with a potential bid for Governor of Alabama in the 2014 election,[14] She considered it, but ultimately decided against running.

[16][17] On June 14, 2017, Cobb announced her candidacy for governor, declaring "I simply cannot stand by and watch as one more community hospital closes its doors.

As the head of Alabama’s judicial branch, and in the face of significant obstacles, I was able to work with amazing court leaders and state employees to make vast improvements in the lives of others.