What the heck, here are most of the references from the Roud Index. I tried to skip the ones that seemed to be doubles, or that are found in manuscripts not readily available (at least not to me).

CARRION CROW
Roud 891

Mackenzie, Ballads & Sea Songs from Nova Scotia (1928) pp.375-378

Belden, Ballads & Songs...Missouri (1904) pp.270-271 (version b)

Williams, Folk Songs of the Upper Thames (1923) p.227

Dixon & Bell, Ballads & Songs of the Peasantry of England pp.202-203

Long, Dialect of the Isle of Wight pp.160-161

Baring-Gould, Garland of Country Song (1895) pp.102-103

Karpeles, Cecil Sharp Collection 2 p.396 (version a)

Karpeles, Crystal Spring p.129

Creighton, Maritime Folk Songs (1961) p.133

English Dance & Song 29:4 (1967) p.105

Mackenzie, Ballads & Sea Songs from Nova Scotia (1928) pp.375-378 (version b)

Creighton & Senior, Traditional Songs of Nova Scotia (1950) pp.244-246 (version a)

Fowke & Johnston, Folk Songs of Canada 2 (1967) pp.162-163

Creighton & Senior, Traditional Songs of Nova Scotia (1950) pp.244-246 (version b)

Creighton & Senior, Traditional Songs of Nova Scotia (1950) pp.244-246 (version c)

Sharp, English Folk-Songs Southern Appalachians 2 pp.324-325 (version a)

Sharp, English Folk-Songs Southern Appalachians 2 pp.324-325 (version b)

Linscott, Folk Songs of Old New England pp.185-186

Abernethy, Singin' Texas pp.15-16

Payne: Pubns. of the Texas Folklore Society 6 (1927) pp.230-231

Belden, Ballads & Songs...Missouri (1904) pp.270-271 (version a)

Owens, Texas Folk Songs (2nd edn.) p.145

Brewster, Ballads & Songs of Indiana (1940) pp.290-292 (version a)

Journal of English Folk Dance & Song Society 1:3 (1934) pp.136-137

Reeves, Everlasting Circle (1960) p.256

Purslow, Marrow Bones (1965) p.86

Mackenzie, Ballads & Sea Songs from Nova Scotia (1928) pp.375-378

Brewster, Ballads & Songs of Indiana (1940) pp.290-292 (version b)

Folkways FES 34151 (`Hand-Me-Down Music 1')

Campbell & Sharp, English Folk Songs from the Southern Appalachians (1917) p.320

Burstow, Reminiscences of Horsham (1911) p.117

Jameson, Sweet Rivers of Song pp.38-39

Opie, Oxford Dictionary of Nursery Rhymes (1951) pp.111-112

Halliwell, Nursery Rhymes of England (Bodley Head reprint of c1870 edn.) pp.85-86 (version a)

Halliwell, Nursery Rhymes of England (Bodley Head reprint of c1870 edn.) pp.85-86 (version b)

Lomax, Folk Songs of North America (1960) p.142

Pound, Folk-Song of Nebraska ... Syllabus p.13

Morris: Southern Folklore Quarterly 8 (1944) pp.175-176

Owens, Texas Folk Songs pp.259-260

Sharp, Nursery Songs from the Southern Appalachians 2 (1923) pp.20-21

Niles, Songs of the Hill-Folk (1934) pp.18-19

Baring Gould & Sharp, English Folk-Songs for Schools (1906) pp.98-99

Halli, An Alabama Songbook (2004) pp.163-164

Sharp, Seventeen Nursery Songs from the Appalachian Mountains [n.d.] pp.14-15

Halliwell, Nursery Rhymes & Nursery Tales of England (5th edn. c1870) p.46