Hello Anna,
Roy Palmer in his
Boxing the Compass: Sea Songs and Shanties mentions this song on pages 58 to 61. His version has:
Captain Chilver's gone to sea,
Hey boys, O, boys etc etc.
The end of the first verse is 'In the brave Benjamin, O
There are at least a dozen more verses. Roy Palmer says that in 1680 a soldier's ballad was written, starting 'Captain Hume's gone to sea'. This one, known as the Benjamin Lamentation, is a naval version and was printed some time between 1681 and 1684. It was about the loss of the Benjamin in a storm at Plymouth, but no naval vessel known as the Benjamin was known at that time.
Another book,
Shanties and Sailors' Songs by Stan Hugill also mentions this song, on p.11, saying it was from the reign of Charles II, but he cites it as 'Captain Chivers gone to sea', though with the same title of the Benjamin Lamentation. Hugill's source is C H Firth
Naval Songs and Ballads 1908, Navy Records Society, but I haven't yet checked this.
Your version seems to have acquired an Admiral Cole, so this doesn't help greatly!
Lesley
http://www.adkinshistory.com