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"Надежда" reminds me of another old song that I like with a similar theme - "Морзянка". It also should be easy to listen to.
http://www.youtube.com/watch?v=_Bgce0JyIG8

Музыка: М. Фрадкин Слова:...

Although it's ok in your translation, but just in case -- in the original "песни" is not plural. It's genitive of "песня". Also, whoever put a comma after "песни" did it "by ear", because there is a...