Down by the Water ... Rhyme

[dobiggs]

Does anyone know if these are the correct words to thid nursery rhyme I am trying desperately to remember :
Down by the water where the green grass grows,
there sat a little girl washing her clothes,
she sang she sang she sang so sweet,
she called to her playmates across the street.
Playmates, playmates, won't you come to tea.
Come next saturday at half past 3.
Pancakes and teacakes and everything you'll see.
Come next Saturday at half past 3.

[Bienchen]

Found that one on the internet:

Down by the river where the green grass grows
there sits Mary washing her clothes.
She sing, she sings, she sings so sweet,
she calls to her baby across the street

Patrick, Patrick, won't you come to tea?
Come next Sunday at half past three.
Tea cakes, Lardy cakes, everything you'll see,
oh won't we have a jolly time at half past three.