I have a cousin named Shoshanna, and she is not Jewish, she is a [name]Christian[/name]. Her Father is Mexican and her Mother is Canadian, but her heritage is Norwegian. I really love it, it’s really pretty. Her nickname is Shoshy, which is cute.
I have a daughter named [name]Susannah[/name] and i love the Jewish equivalent Shoshanna. The only problem I have with it is it has popped up numerous times in our newspaper section of babies named in the towns that are considered ghetto. I don’t know how that happened since it is clearly a Jewish name.
[name]Hi[/name] there! As a Jewish person whose given name actually happens to be [name]Shoshanah[/name], I can say that personally I wouldn’t have a problem with a non-Jewish person giving her child my name. Though most '[name]Shoshanah[/name]‘s’ I’ve known happen to be Jewish, the bottom line is that [name]Shoshanah[/name] is a Hebrew, not a “Jewish,” name.
As one of the posters above already mentioned: ‘lily’ is the ancient Hebrew translation of [name]Shoshanah[/name]. In modern Hebrew, [name]Shoshanah[/name] means ‘rose.’
Regarding nicknames, people call me Shosh (long ‘o’) or Shoshie. As a child, my nickname was ‘[name]Shanah[/name].’ I like your idea of ‘[name]Sosie[/name]’ as a nickname, too.
The biggest issue with this name will be mispronunciation - it’s just inevitable, and I’ve gotten used to it. The most common mistake people make is saying ‘Shoshonah’ (middle syllable pronounced like ‘show’). Interestingly, where I live in [name]California[/name], most people don’t know [name]Shoshanah[/name] is a Hebrew name - they think it’s Native American. They get [name]Shoshanah[/name] confused with the [name]Shoshone[/name] tribe, hence the Shoshonah mispronunciation. However, though mildly annoying at times, the fact that people often mispronounce my name at first is not the end of the world, and I wouldn’t let that stop you from using the name for your child 
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i dont associate it as a jewish name adn i htink it is uncommon enough that it could be shared. i also feel that so many names have becoe more shared across religions and cultures that i htink it is ok. that said, maybe i am jsut unaware of its association - i know a fiar number of jewish people but no shoshanas. i do think naming a non indian child shefali or sonal would be odd so i could imagine that if it is in fact strongly considered jewish it oculd be odd…