There does not appear to be any information on the internet about the song Drink Up, Boys!
Sweethearts and Wives (also known as A New Sea Song), an undated sea-shanty, starts like this:
Our bosun calls out for his bold British heroes:
Come listen a while to what I do sing.
Let every man toss off his full bumper,
And drink a good health unto George our king.
And drink a good health to Suke, Moll and Kitty;
With mirth and good liquor we’ll lead merry lives.
We will not be afraid to kiss or to venture
On Saturday night to our sweethearts and wives.
Listen on Spotify to Sweethearts and Wives (A New Sea Song)