Tennesseans in the Civil War shows this;

Cobb, H.B. 2 Lt., H Co., 4th Infantry.
Cobb, J.H. Pvt., E Co., 4th Infantry

The Civil War Soldiers and Sailors system also lists H.B. Cobb as H.B and as Henry Biar.
The Soldiers and Sailors system lists J.H. Cobb as J.H. and as James Henry.

The Cobbs listed in the 38th Alabama are Cobb, D.W., Pvt. and Cobb, F.M., Corporal