Parallel Anthology Track 57
Track 57: Clarence Ashley - The Coo Coo Bird Columbia 15489-D; Recorded in Johnson City, Tennessee, 23.11.1929
According to wikipedia, this is a version of a traditional English folk song.
The Roud Folksong Index classifies this song as a version of Roud 413. A Roud number search returns numerous versions which significantly pre-date Ashley's recording.
This composition can be treated as public domain.
The Coo Coo by Mr and Mrs John Sams recorded in 1959 (according to RFSI): Spotify Liner notes for this album show that this is a field recording of a traditional folk song.
The Cuckoo She's a Fine Bird by Kelly Harrell recorded in 1926 (according to RFSI): Spotify victor.library.ucsb.edu makes no claim for writing or arrangement.
False Hearted Lover by Olivia Hauser recorded in 1961: Max Hunter Collection Note: Most of this song is different to "The Coo Coo Bird". Only the last two verses (from 1:44) contain the first verse of Ashley's version.
The Cuckoo by Lillie Steele recorded in 1958 (according to discogs): Spotify The liner notes for this album treat this song as traditional.
The Cuckoo by Jean Ritchie recorded in 1952 (according to discogs): 2 versions on Spotify: Version 1 Version 2 Album title is "Singing the Traditional Songs of her Kentucky Mountain Family", so this version can be treated as public domain.
The Cuckoo She's A Pretty Bird by Jean Ritchie recorded in 1949: