I believe this may be your man.
He was commissioned into 4th Battalion Suffolk Regiment and later served in No.1 Commando and became a member of the original Commando Association. Army service number 76597. He was known as Tim and died in 1994. Here are a couple of sources for that and some more info below:
Commissioned 1938 Second Lieutenant - London Gazette 34539, page 5053
https://www.thegazette.co.uk/London/issue/34539/page/5053/data.pdf
4th Bn. Suffolk Regt. Bernard Edward WOODCOCK (late Cadet Sergeant, Ipswich School Contingent, Jun. Div., O.T.C.) to be 2nd Lt. 16th July 1938.
Commando Association newsletter 19 issued September 1954
Derby Branch. The small but happy band of members still meet here on the last Friday in each month at the Mafeking Hotel, Porter Road, and they were recentlv joined bv Major B. Woodcock (1 Cdo) now resident in Derby.
1958 awarded the Territorial Efficiency Decoration - London Gazette 41438, page 4286.
https://www.thegazette.co.uk/London/issue/41438/supplement/4286
INFANTRY.
Suffolk.
Capt. (Hon. Maj.) B. E. WOODCOCK (76597) (now T.A.R.O.).
1962 Retired - London Gazette 42571, page 423.
https://www.thegazette.co.uk/London/issue/42571/supplement/423
EAST ANGLIAN BRIGADE
Suffolk
TERRITORIAL ARMY RESERVE OF OFFICERS
Capt. (Hon. Maj.) B. E. WOODCOCK, T.D. (76597) having exceeded the age limit, ceases to belong to the T.A. Res. of Offrs., 17th Jan. 1962, retaining the hon. rank of Maj.
Obituaries Commando Association newsletter issued March 1995
Major Bernard Edward 'Tim' Woodcock, T.D., 1 Cdo., of Norwich Norfolk
Our Gallery entry here:
http://gallery.commandoveterans.org/cdoGallery/v/units/1/1+cdo+nom+role/No+1+Cdo/Z2-Winchester+Reunion+Programme_.jpg.html