McRae was elected as Lieutenant Colonel in command of the 3rd Arkansas Infantry Battalion on 15 July 1861.[6] He led his battalion in action at the Battle of Wilson’s Creek, Missouri on 10 August 1861 and was commended for his coolness under fire and his leadership of his soldiers. In December 1861 Colonel McRae’s battalion was augmented with additional volunteer infantry companies and reorganized into the 15th Arkansas Infantry Regiment (Northwest), and he was promoted to colonel. The regiment was transferred to Missouri under the command of the Army of the West but shortly after the transfer, Colonel McRae was granted a transfer back to his adopted state to take command of the then forming 28th Arkansas Infantry Regiment.[7]
https://en.wikipedia.org/wiki/Dandridge_McRae

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Wilson’s Creek Order of Battle
McCulloch’s Brigade
BG Benjamin McCulloch
Col James M. McIntosh[2]

3rd Louisiana Infantry: Col Louis Hebert
3rd Arkansas Infantry Battalion: Ltc Dandridge McRae
1st Arkansas Mounted Rifles: Col Thomas J. Churchill
2nd Arkansas Mounted Rifles: Col James M. McIntosh, Ltc Benjamin T. Embry[3]
South Kansas-Texas Mounted Regiment (3rd Texas Cavalry): Col Elkanah Greer