Azizi, you throw too wide a loop.

"Duke(s) a-riding" certainly is a forbear of the play song in the last part of your post; "Girls, we're riding here to get married ...." a typical match-making song.

"Here Comes One Johnny Cuckoo" (earlier post), sung by Joan Baez, and in your Cocojams, seems to be a combination of a soldier play song with the 'dirty' verses from "Duke(s)..." Floaters?
It does not mention match-making. On that basis I would separate them.
The "dark and stormy night" line is one I haven't found in other play songs.

Compare with "Here's a Soldier," another match-making song:

Here's a soldier, left all alone
Wants a wife and can't get none.
...........
What's your will, mu dilcy dulcy officer? (2x)
............
My will it is to marry, my dilcy dulcy officer
..........
You're all too old and ugly, my dilcy dulcy officer (2x
etc.

or:
I am an old soldier, I come from the war,
Come from the war;
I am an old soldier, I come from the war,
And my age it is sixty and three.
...........
Son, go choose a wife of your own,
etc.
You're all too old and ugly
................
Children seem to like the dirty, greasy, blowsy, ugly comparisons.

Neither seems to have any relation to the 'Conquerer root'.

(I have found a rather good version of "Three Dukes" from Shropshire in Gomme; if I can find that thread I will post there, or will post separately).