I don't doubt that; but this isn't an Irish song, and the use of green as an indicator of republican sympathies in Ireland during the 19th century is irrelevant in this context. Here, it's just another colour. It was sometimes considered unlucky to wear green at weddings; but for entirely different reasons.

As Q suggested, substantive discussion might be better placed in the earlier thread in order to avoid unnecessary repetition and, just perhaps, to encourage at least a little sticking to the point.

Meanwhile, see also this discussion of what appears to be an earlier form of the dialogue, as a children's game. The additional business would make more clear the reasons for what happens in the "stripped down" form we have here: Origin of Aunt Jenny Died