Language / Children's Songs in Polish [66]

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Polish children's songs

My grandfather used to bounce a baby on his knee while singing (phonetically in English) "shoe pie shoe pie da-na shoe pie shoe pie da-na, weeee!" I tried to look up some possible Polish spellings but couldn't find any thing with good translations:

szupaj dana
Szczupaj dana
siupaj dana
śćupaj dana, etc.

Couldn't find anything good. Any ideas?