A fragment is found on pg 37 in The Canfield Collection (1926) where he says:

My father used to sing an old song that started, "Oh, wont you take it in your hand Mrs. Murphy?" But he has forgotten it. It was seemingly endless. Do you know of it?

https://archive.org/details/1926canfieldcollection/page/n37/mode/2up

The request for info dated 1926 would indicate the song dates to at least 1900.