Brian, both can be found elsewhere (in "Bryan O'Lynn") though only the first example antedates Eliza Pace.

Fraser's Magazine (Feb. 1842):

        Brian O'Linn, his wife, and wife's mother,
        They all went into one bed together;
        The blankets were broke, and the sheets were thin,
        "Let's lie close together," says Brian O'Linn.


Fred High, "Old, Old Folksongs" (1951?) [typos corrected]:

         After supper they must have a dance
         There was nobody there that could caper or prance
         His shoes were rent & his socks were thin
         I’ll shake my old tatter said Bryno-o-Lynn