"Willow Weep for Me" is a popular song composed in 1932 by Ann Ronell, who also wrote the lyrics. It is mostly known as a jazz standard, but it was a Top 40 hit for the British duo Chad & Jeremy in 1964.
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http://en.wikipedia.org/wiki/Willow_Weep_for_Me

Willow weep for me
Willow weep for me
Bend your branches green along the stream that runs to sea
Listen to my plea
Hear me willow and weep for me

Gone my lovers dream
Lovely summer dream
Gone and left me here to weep my tears into the stream
Sad as I can be
Hear me willow and weep for me

Whisper to the wind and say that love has sinned
Left my heart a-breaking, and making a moan
Murmur to the night to hide its starry light
So none will see me sighing and crying all alone

Weeping willow tree
Weep in sympathy
Bend your branches down along the ground and cover me
When the shadows fall, hear me willow and weep for me

Oh, Weeping willow tree
Weep in sympathy
Bend your branches down along the ground and cover me
When the shadows fall, hear me willow and weep for me