https://mudcat.org/thread.cfm?threadid=34523
THE RIVER LEA
attributed to Sam Peck

It was one fine day in the month of May,
And I was outward bound.
I hadn't any tin to buy some gin,
So I walked the street all around.
My shoes was out at the elbows,
And I was sore in need
So I shipped as a jolly sailor
On board of the River Lea.

No more I'll go to sea,
beat down the bay of Fundy.
Forever more I'll stay on shore,
I'll go to sea no more.

Cliff Haslam sings The River Lea https://www.youtube.com/watch?v=LJGS7hnMhEk

sung by Dan Milner

The following song has the Isle of May, which is a place in Scotland, not a month. Both songs have a "Go to sea no more" chorus
https://mudcat.org/@displaysong.cfm?SongID=7690

WE'LL GO TO SEA NO MORE

Oh! blythly shines the bonnie sun
Upon the Isle of May,
And blythly comes the morning tide
Into St. Andrews bay;
Then up, gudeman--the breeze is fair;
And up my braw bairns three,--
There's goud in yonder bonnie boat
That sails so well the sea!

When haddocks leave the Firth of Forth,
And mussels leave the shore;
When oysters climb up Berwick Law,
We'll go to sea no more,
No more,
We'll go to sea no more.

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Mudcat Thread, Lyric Req: The River Lea /mudcat.org/thread.cfm?threadid=34523&messages=33#top