Here are the two other versions collected by Sharp that I believe are bases on the longer ballad (similar to Gosport broadside). I'll check Sharp's MS to see if there is additional text.

Q. The Cruel Ship's Carpenter- Sung by Mr. CLINTON FITZGERALD at Royal Orchard, Afton, Va., April 28, 1918
Hexatonic (no 7th).

In sea-port of late a fair damsel did dwell,
For wit and for beauty few her did excel;
She was courted by William for to be his dear,
And he by his trade was ship's carpenter.


U. The Cruel Ship's Carpenter- Sung by Mr. K. FREEMAN
at Marion, N. C, Sept. 3, 1918

There lived a mason who lived by trade,
He had for his daughter a beautiful maid,
For wit and for beauty there was none to compare,
For her old sweetheart was ship's carpenter.