Authorship, country of origin, approximate age of the ditty and speculation of what would be printed on the old lady’s death certificate. My inadequate research skills are ill-suited to the task.
I’m not 100% sure about this but the easliest reference I can find to the song is from the 1950’s recorded by a folk singer named “Burl Ives”. Like I said i’m not certain he wrote it or was the first to record it but it’s a start!!
As for the cause of death I would venture a guess at “Death by mis-adventure” which is a fancy way of saying someone died-after-doing-something-incredibly-stupid-and-did-the-gene-pool-a-favour 
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