Woodward was killed in Hopkinsville in 1864 in the incident that Big G states.
Also - he formed the Oak Grove Rangers, listed as a TN cavalry company and then became part of the 1st KY Cavalry for the year that they were around (before their reorganization and merger with the 3rd KY Cavalry). After that he was back in KY in the Summer of 1862 recruiting for his soon to be 2nd KY Cavalry when he joined with Adam Rankin Johnson (also recruting for his soon to be 10th KY Cavalry) to attack Clarksville, TN - which they did. The 2nd (Woodward's) KY Cavalry was also known as the 15th KY Cavalry as there was already the 2nd (Morgan's/Duke's) KY cavalry in existence.
The two commands split back up again after taking Clarksville and Woodward went after Dover, TN in the 1st battle of Dover in August, 1862. He was repulsed in his attack and went back to Clarksville. In early September a Union brigade under Col. W.W. Lowe came over from Dover and fought Woodward in a running fight west of Clarksville that culminated in the Battle of Riggins Hill where Woodwards' men were routed by the Union artillery. He ran back through town with some of the command turning north on the Hopkinsville Road and the others going out the Russellville Pike.
Woodward's KY regiment was part of Forrest's West TN raid in December, 1862 and fought at Parker's Crossroads. They were not at Brice's Crossroads however as mentioned.