No chanteys in it, but full of sea songs is "Naval Songs and Ballads" edited by C.H.Firth, published by the Navy Records Society in 1908 (this is volume 33 of the Publications of the NRS). 123-page introduction by Professor Firth, 107 song lyrics (no music, but there is an index of tunes mentioned), and notes on each song and ballad. The songs are arranged chronologically, with the earliest dating to the 14th century (titled 'The Battle of Sluys').

Lots of the songs are unfamiliar to me, such as 'The English Seaman's Resolution', 'A Satyr on the Sea-Officers' and 'The Russians Won't Come Out'. But you'll find here 'Don't Forget Your Old Shipmate', 'The Death of Lord Nelson' and 'Andrew Barton'.

I wish I had time tonight to type up the list of songs...

Jerry