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According to Mahabharata queen "Sudheshna" is the sister of Kichaka and the wife of King Virata (in whose kingdom the Pandavas stayed in disguise, That's called Virata parva.), that is the description of the character Sudheshna.

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And the meaning of the name can be something like one who is made of sudha or amrit ( amrit means the heavenly water which makes one immortal).
Source(s):
Wikipedia.