I have been studying the Steenbergh line for literally years. I have run across a Wade Steenbergh, in my notes as follows: Army register Volunteer Force Part II 1861-65 New York;New Jersey March 2, 1865 page 653
Wade H. Steenburgh 1st Lieutenant Discharged Nov 7, 1864 150th regiment.
These are old notes probably from 20 years ago. Hope it helps.