The first recording of this melody was by Joseph Allard in 1933: T:Reel du père Latrimouille M:2/4 L:1/16 C:J. Allard / Victor 263916 / 1933 P:JD K:G "A"B2d2|g4 fgaf|g2g2 B2Bd|f4 efge|f2f2 B2Bd|! g4 fgaf|g2g2 B2d2|f2((3fgf) ecAF|G2G2:||:! "B"BddB|G2G2 FGAB|c3c AFAd|f2ed cBAG|B2G2 BddB|! G2G2 FGAB|c3c AFAd|f2((3fgf) ecAF| G2G2:||
However, Isidore Soucy had recorded one of the two parts in 1930, as the 3rd part of his Quadrille des Laurentides: T:Quadrille des Laurentides - 3ème partie M:2/4 L:1/16 C:I.Soucy / Starr 15736a / 1930 K:D "A"fgaf d2d2|ffdf a2g2|gage c2ef|gfga b2a2|abaf d2d2|ffdf a2g2|gage cAAA |BABc d2d2:||:! "B"ABAG F2A2|d2d2 e2E2|cBcd c2A2|BABc B2A2|ABAG F2A2|d2d2 e2E2|cBcd c2A2 |BAFA d2d2:||
Also in 1930, harmonica player Adélard St-Louis recorded a song with part of the well-known lyrics, but using melody of the Pigtown Fling for the song. Notice how the B part has a similar contour to the Cobbler's reel, though in E minor: T: Tu maries ma fille M: 2/2 L: 1/8 C: Adélard St-Louis et Borromée Bernaquez / Columbia 34272 / 1930 K: G "A"ge|d2ed B2ge | dBAB G2ge | d2ed B2AG | FAEF G2ge | ! d2ed B2ge | dBAB G2ge | d2ed B2AG |1 FAEF G2:||2 FAEF G2G2||! "B"B2e2e2g2 | fgaf gfed | B2e2e2g2 | fgaf gfg2 | ! B2e2e2g2 | fgaf gfed | B2e2e2g2 | fgab g2||
Isidore Soucy proposed another version than Allard in 1936: T:Partie de set canadien M:2/4 L:1/16 C:I.Soucy / Bluebird B-4859a / 1936 K:G "A"B2d2|g2g2 fgaf|ggg2 B2d2|({fg}f2)f2 efge|f2f2 B2d2|! g2g2 fgaf|ggg2 B2d2|fgfe
dcBA|1G2G2:||2
M:1/4 G2Bc|| |:! M:2/4 L:1/16 "B"dedB G2Bc|BAGB d2c2|cdcA F2AB|AFAc e2d2|! dedB G2Bc|BAGB d2c2|cdcA F2e2|1dcAB G2Bc:||2dcAB G2G2||
Then, Tommy Duchesne recorded it as Reel des cordonniers in 1941. I don't know of any version with the title Reel du petit cordonnier. There is tune/song with the title Le petit cordonnier by Alfred Montmarquette in 1928, but it's a different song, and a unrelated tune.
Both Thiffaut and Duchesne recorded it as a song in 1958, but with different lyrics, and a similar chorus.