This is the only “Anthony Towell” on FindMyPast’s birth index:

First name(s) ANTHONY
Last name TOWELL
Birth year 1932
Birth quarter 4
Registration month -
Mother's last name Jennings
District Wellington (Somerset)
County Somerset
Country England
Volume 5C
Page 301
Record set England & Wales Births 1837-2006

On the other hand, the London Gazette always gave him the second initial of ‘P’, and this is the only birth index entry of Anthony P Towell on FindMyPast:

First name(s) ANTHONY P
Last name TOWELL
Birth year 1931
Birth quarter 2
Registration month -
Mother's last name Smith
District Potterspury
County Northamptonshire
Country England
Volume 3B
Page 23
Record set England & Wales Births 1837-2006
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The second birth entry leads to four possible marriages:

Last Name First Name Born Died Event Record set  Location
Towell George F — — 1924 Hull, Yorkshire
Towell George W — — 1926 Tynemouth, Northumberland
Towell Oliver S — — 1928 Brentford, Middlesex
Towell Philip E — — 1930 Easthampstead, Berkshire

The easy way to sort these out is to get his birth certificate.  I don’t think the 1939 register would identify the parents, particularly as A P Trowell would be redacted and can’t be found anyway.
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Is this him (found on Google):
Anthony P Towell 11000 Placida Placida, FL 33946 Age 87 (Born Apr 1931) (941) 698-9402
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London Gazette:

Of 22 July 1952: R. Norfolk.
...
2nd Lt. A. P. TOWELL, M.C. (412082), to be Lt., 22nd July 1952.

Of 24 Jul 1956: R. Norfolk. [Regiment]
REGULAR ARMY.
Lt. A. P. TOWELL, M.C. (412082). to be Capt., 22nd July 1956.

Of 18 Nov 1957: R. Norfolk.
REGULAR ARMY RESERVE OF OFFICERS.
Class III.
Capt. A. P. TOWELL, M'.C. (412082), from Active List, to "be Capt.. 28-th Sept. 1957, retaining his •present seniority.

Of 20th April 1962: EAST ANGLIAN BRIGADE
1 E. Anglian REGULAR ARMY RESERVE OF OFFICERS
Class III
...
C a p t . A . P . TOWELL, M . C . his oommn., 1st July 1959.

Of 22nd May 1962: EAST ANGLIAN BRIGADE
1 E. Anglian REGULAR ARMY RESERVE OF OFFICERS
Class III
. Capt. A. P. TOWELL, M.C. (412082): die notifn. jn Gazette (Supplement) dated 20th Apr. '1962 is cancelled.
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Their marriage index:

First name(s)        Anthony P
Last name            Towell
Marriage quarter     3
Marriage year        1955
MarriageFinder       Anthony P Towell married one of these people
                     Jacqueline L Honnor
Spouse's last name   Honnor
District             Bridge
County               Kent
Country              England
Volume               5B
Page number          117
Record set           England & Wales Marriages 1837-2005
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