check the excellent discography by Nick Guida:   
    http://theballadeers.com/db_d01.htm

I see only one recording:
The Bells Of Hell/The Captains and the Kings: 1959 - Decca 45-F11147 45

It was also on BRENDAN Behans Spoken Arts album:

Spoken Arts 760
Brendan Behan sings Irish Folksongs and Ballads
liner notes: Luce Arthur Klein

Time magazine April 11, 1960
Brendan Behan Sings Irish Folk Songs and Ballads (Spoken Arts). "Sings" is the nonoperative word here; Irish Playwright Behan growls, gurgles and lurches in and out of key like a drunk on a swaying bus ("I usually talk nicer," he concedes, "when I have me teeth"). Nevertheless, he performs with engaging gusto and humor, and with considerably more conviction than most of his folk-styled competition.

Side One
On the 18th Day of November
The Captains and the Kings
I Will Give You a Golden Ball
Who Fears to Speak of Easter Week
I Am a Happy English La (rendered in a wildly improbable parody of an Oxford accent)
Don't Muck About With the Moon
When Socrates in Ancient Greece

Side Two
A Bonfire on the Border
The Bold Fenian Men
The zoological Gardens
Home on the Range
The Old Triangle
Says Herself to Meself
O in Glendalough Lived an Old Saint

Best wishes, Thomas.