Taking the tune from the sheet music I got at the Levy site, I came up with this chord progression:

LORENA
Poetry by M. Q.* A, Webster; Music by J. F. Webster

          G                     G7     C                 D       D7        C        G        D
The years creep slowly by, Lorena. / The snow is on the grass again;
        G                         G7      C                D               D7                              G
The sun's low down the sky, Lorena,/ the frost gleams where the flow'rs have been.
             Em                                  Bm(7)       D     Em              A7           D7
But the heart throbs on as warmly now, /as when the summer days were nigh;
              G                  G7      C  Am       D7                                   G
Oh, the sun can never dip so low    /  a-down affection's cloudless sky.
              G         G7               C  Am       D       D7                        G
Oh, the sun can never dip so low   /  a-down affection's cloudless sky.
 

If I were to  strum it, those would be the chords; the way I play it, I'm doing melody runs while fingerpicking from those chords as a base.  (So on the word "grass" in the first line, I actually pick only a single note, not the whole chord).

Genie