Hi Joe, et alia,
Your version there is essentially identical to what I sing. I got it from MacColl.
I'm interested this week as Lloyd suggested it's a possible reference to the War of the Roses (no date suggested for the chantey, itself, though). I believe this is absolutely, 100% true. A hard fact.
The reason for my certainty is that the last, climactic battle of the Wars of the Roses was played March 29, 1461 and I sang it yesterday with that in mind, also a Palm Sunday. Since that could hardly be a mere coincidence, it must be true.