"Tally I O, the Grinder," is mentioned as a capstan chantey from Tyneside, on a couple of websites.
See thread 81169 for the version by the Hush.
Tally-I-O

A little more of "A Yankee Ship and a Yankee crew."

Chorus-
A yankee ship and a yankee crew
Tally hi ho, you know;
O'er the bright blue waves like a sea bird flew,
Sing hey aloft and alow.

1
Her wings are spread to the fairy breeze,
The spray sparkling is thrown from her prow;
Her flag is the proudest that floats on the seas,
Her way homeward she's steering now.
2
A yankee ship and a yankee crew
Tally hi ho, you know;
With hearts on board both gallant and true,
The same aloft and alow.
3
The blackened sky and the whistling wind,
Fortell the quick approach of the gale;
A home and its joys flit o'er each mind
Husbands! Lovers! "on deck there," a sail.
4
A yankee ship and a yankee crew,
Tally hi ho, you know;
Distress is the word, - God speed them through;
Bear a hand aloft and alow.
etc......

Full lyrics in -. P. Morris, "A Hundred Writers," 1841, Linen and Fennell, NYC.; on line at www.archive.org/americanmelodies