I had intended to post a list of links last time there was a discussion of this song, but evidently didn't get around to it. Here, then:
In the Forum:
Info Req: Polly's Love Text as found by Jim Eldon in Yorkshire, and recorded by Waterson-Carthy.
Lyr Req: Pretty Polly / lost verse Two unattributed texts, presumably American.
In the DT:
THE CRUEL SHIP'S CARPENTER Described as "transcribed from the singing of Mike Waterson"; with tune.
PRETTY POLLY (2) From Dock Boggs, with tune.
THE SHIP'S CARPENTER from Leo Spoencer, Canada, 1962. With tune.
There are two main entries at The Traditional Ballad Index
Cruel Ship's Carpenter, The (The Gosport Tragedy; Pretty Polly) [Laws P36A/B]
Pretty Polly (II) [cf. Laws P36]
Several examples can be seen, and heard, at the Max Hunter Folk Song Collection
Pretty Polly Come Go Along With Me As sung by Ollie Gilbert, Mountain View, Arkansas on June 25, 1969.
Pretty Polly As sung by Sara Jo Bell, Harrison, Arkansas on August 25, 1969 .
Pretty Polly As sung by Harrison Burnett, Fayetteville, Arkansas on August 18, 1960.
Molly Girl As sung by Mrs. Ed Newton, Gainesville, Missouri on June 10, 1958.
At Bodleian Library Broadside Ballads:
The Gosport Tragedy or, The Perjured Ship-Carpenter No date. Printed and Sold at the Printing Office in Stonecutter Street, Fleet Market .
The Gosport Tragedy or, The Perjured Ship Carpenter. Printed between 1797 and 1846 by J. Turner, High Street, Coventry.
There are several 19th century broadside examples of the later version; they vary very little. Here is one:
Polly's love, or The cruel ship carpenter. Printed between 1819 and 1844 by J. Pitts, Toy & Marble Warehouse 6, Great St.. Andrew Street, Seven Dials, London.
These are large images.