Don Firth, you're right. To back you up, I'll copy the entry from FOLK MUSIC INDEX:

All My Trials

1. Snyder, Jerry (arr.) / Golden Guitar Folk Sing Book, Hansen, Fol (1972), p 11
2. Folk Music Scene, M. Witmark, Sof (1967), p 50
3. Silverman, Jerry (ed.) / Folksingers Guitar Guide, Advanced, Oak, Sof (1964), p62
4. Lynn, Frank (ed.) / Songs for Swinging Housemothers, Fearon, Sof (1963/1961), p325
5. Winds of the People, Sing Out, Sof (1982), p 55
6. Sing Out Reprints, Sing Out, Sof (1959), 2, p 7
7. Leisy, James F. (ed.) / Hootenanny Tonight!, Gold Medal Books, sof (1964), p174
8. Miller Jr., E. John; & Michael Cromie / Folk Guitar, Quadrangle, Bk (1968), p 66
9. Blood, Peter; and Annie Patterson (eds.) / Rise Up Singing, Sing Out, Sof (1992/1989), p130
10. Luboff, Norman; and Win Stracke (eds.) / Songs of Man, Prentice-Hall, Bk (1966), p328
11. Leisy, James F. (ed.) / Folk Song Abecedary, Bonanza, Bk (1966), p 9
12. Abe and Malka. Mandelblatt, Abe & Malka A. / 100 Guitar Accompanyments, Amsco, Sof (1974), p160
13. Baez, Joan. Joan Baez, Vanguard VRS 9078, CD/ (1960), trk# 5
14. Baez, Joan. Siegmeister, Elie (arr.) / Joan Baez Song Book, Ryerson Music, Sof (1971/1964), p126
15. Blarney Folk. Let Those Irish Brown Eyes Smile at Me, Babe, London International SW 99512, LP (1969), trk# B.06
16. Bugg, June. Hootenanny Folk Festival, Palace 757, LP (1964), trk# A.04
17. Dick & Dee Dee. Turn Around, Warner W 1538, LP (1964), trk# A.06
18. Faier, Billy. Travelin' Man, Riverside RLP 12-657, LP (1958), trk# 4 (Bahaman Lullaby)
19. Gibson, Bob. Offbeat Folksongs, Riverside RLP 12-802, LP (1956), trk# B.02 (Bahaman Lullaby)
20. Gooding, Cynthia. Faithful Lovers and Other Phenomena, Elektra EKL 107, LP (1956), trk# A.07
21. Halifax Three. Halifax Three, Epic BN 26038, LP (1963), trk# A.05
22. Joe & Eddie. Joe & Eddie, GNP Crescendo GNP #75, LP (196?), trk# B.05
23. Kingston Trio. At Large, Capitol T 1199, LP (1959), trk# A.02 (All My Sorrows)
24. Krater Brothers. Singin' for Fun, Flight 7, LP (197?), trk# A.02
25. Lewis, Don. Don Lewis, Flight 7, LP (196?), trk# A.05
26. Seeger, Pete. American Favorite Ballads. Volume 4. Tunes and Songs, Folkways FA 2323, LP (1963), trk# B.09
27. Seekers. Seekers, Pickwick SPC-3068, LP (197?), trk# B.02
28. Sheer, Anita. Anita Sheer, MGM E-4225, LP (196?), trk# B.03

Incidentally, there's no song titled "All My Trials", "All My Sorrows", or "Bahaman Lulluby" in Blues and Gospel Records 1890-1943 (Oxford, 1997).

~Masato

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Updated and corrected 14 May 2011. -Joe Offer-