Inna

This Russian name means "stormy water" or "stormy stream" and originally was a male name. Also, it has only male saints in Orthodox Church. Now Inna is exclusively given to females.

Strong current or water.

The name means 'coming from water of strength' and it is indeed from Russian origin.

There are several versions as to the origin of the name.
1) It's derived from Greek (ἴννα)[1], probably from ἴννην, meaning "little girl" (source - http://en.wikipedia.org/wiki/Inna_(given_name))
2) It's derived from Gothic 'stream' - 'rinno', wf., flodus, sf.; •baks, sm. (i-stem), ahwa, sf. (Gothic) (source - http://www.oe.eclipse.co.uk/nom/letters.htm) In this case it should mean 'a torrent', 'a raging stream'.

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Russian Orthodox church has 3 martyrs - St.Inna, St.Pinna and St.Rimma (all the three are men) who are commemorated on the 20th of January (the day of their death) and the 20th of June (old style). They were frozen into the ice on the Danube for teaching Christianity there. (source of the story - http://days.pravoslavie.ru/Life/life6605.htm)

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The icon depicting St.Inna can be found at http://days.pravoslavie.ru/Images/im1797.htm

Its meaning is "strong water". It is actually a unisex name, but became somewhat popular as a religious girl's name due the misidentification of the sex of the Russian martyr Inna, a male student of the Apostle Andrei.

It is the pet form of the name Inessa.

Inna is an old Russian male name, which became female nowadays.

It's a Roman name, actually there were three male names they were given to girls for new times including Inna. It means storm, it's not a Russian name at all. This name is traditionally given to Jewish girls in Russia.

I've heard three theories here. One, Inna (or Inessa) are a feminine form of Innokentiy, which means "innocent". Two, it's derived from Greek name Hagne, which means "pure". And three, it's a Russian form of Celtic Iness, which means "islander".