Home by the Sea seems to be a rewrite of "Dear Old Home Beyond the Sea" by A. Hamilton Sims and William A. Keller (music) written in 1887. The sentiment is identical but the song probably entered traditional and was changed. You can loook here:
http://lcweb2.loc.gov/diglib/ihas/loc.natlib.ihas.100007143/pageturner.html

HOME BY THE SEA Carter Family

    [INSTRUMENTAL BREAK]

There's a lonely cottage by the seaside
Where the water lilies strew the shore
It was there I passed my happy childhood
With a loved one that's gone before

    Then give me back my dear old home
    That old home by the sea
    And I never will wander far away
    From my home, my dear old cottage home

    Oh-le-lay-ee, ee-e-e-e-ee
    Ah-lee-oh-lay-ee, ee-e-e-e-e-ee
    [INSTRUMENTAL BREAK]

Many years have passed since there I wandered
But the old cot' ne'er has been forgot
And my heart in fancy oft returns
To that dear old familiar spot

    Then give me back my dear old home
    That old home by the sea
    And I never will wander far away
    From my home, my dear old cottage home

    Oh-le-lay-ee, ee-e-e-e-ee
    Ah-lee-oh-lay-ee, ee-e-e-e-e-ee
    [INSTRUMENTAL BREAK]

Yes, my heart is like a humming sea shell
That tells of its birth where e'er it roams
I will sing of my cottage by the seashore
Of my home, my dear old cottage home

    Then give me back my dear old home
    That old home by the sea
    And I never will wander far away
    From my home, my dear old cottage home