By 'countrey', I presume it did not originate in London.

Yes. Especially in context with the slightly derogatory lines:

The City, likewise,
Though somewhat precise,
Doth willingly part with her cost;

Seems that the nature of beaurocracy will never change, no matter how many centuries pass.

One of the many reasons why I think this song should be brought back into popular circulation... Although the nature its "homemade" cheer is not like to win the hearts of commercial retailers...at least, not publicly.