Some notes on the words:
draigl't = draggled, soaked or drenched or dirtied
weet = wet
gin = if
warld = world
ken = know
ilke = every
ane = one
a' = all
waur = worse

First version

Comin thro' the rye, poor body,
Comin thro' the rye,
She draigl't a' her petticoatie
Comin thro' the rye.

Chorus:
Oh Jenny 's a' weet poor body
Jenny 's seldom dry,
She draigl't a' her petticoatie
Comin thro' the rye.

Gin a body meet a body
Comin thro' the rye,
Gin a body kiss a body --
Need a body cry.

Oh Jenny 's a' weet, etc.

Gin a body meet a body
Comin thro' the glen;
Gin a body kiss a body --
Need the warld ken!

Oh Jenny 's a' weet, etc.

Second version

Gin a body meet a body, comin thro' the rye,
Gin a body kiss a body, need a body cry;
Ilka body has a body, ne'er a ane hae I;
But a' the lads they loe me, and what the waur am I.

Gin a body meet a body, comin frae the well,
Gin a body kiss a body, need a body tell;
Ilka body has a body, ne'er a ane hae I,
But a the lads they loe me, and what the waur am I.

Gin a body meet a body, comin frae the town,
Gin a body kiss a body, need a body gloom;
Ilka Jenny has her Jockey, ne'er a ane hae I,
But a' the lads they loe me, and what the waur am I.