"The blackbird" is #2375 in Steve Roud's folk song index. There are many more broadside than traditional versions listed. Those I have are: Randolph's 'Ozark Folk Songs', I, #116, (1980 ed.); Joyce's 'Old irish Folk Music and Songs'; 'The Greig-Duncan Folk Song Collection', I, #117 (1 verse fragement with no tune). Roud says it's also in Christie's 'Traditional Ballad Airs'. [Also in Colm O Lochlainn's 'More Irish Street Ballads'].S. P. Bayard, 'Dance to the Fiddle, March to the Fife', #177, 1982, gives 8 instrumental versions of the tune and mentions the song as being sung in Pennsylvania in the 1930s.
"The Blackbird of Avondale" is Roud #5174, but he lists only 2 versions, both traditional on phono record