Let me raise the possibility that it is a corruption of the following from the 1913 Webster's dictionary. It at least fits with the rest of the line. It is also easy to see how "opodeldoc" could be transcribed as "A podeldo" by someone unfamiliar with the word.

Opodeldoc (Page: 1006)

Op`o*del"doc (?), n. [So called by Paracelsus. The first syllable may be fr. Gr. vegetable juice.]

1. A kind of plaster, said to have been invented by Mindererus, -- used for external injuries. [Obs.]

2. A saponaceous, camphorated liniment; a solution of soap in alcohol, with the addition of camphor and essential oils; soap liniment.

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