i think its awful. you may as well name a child 'Word' or 'Paragraph'.
there are plenty of mythological and literary names that you could use.
i love names that have stories behind them, like
Cassandra or
Ophelia.. and there are loads of gorgeous names from Tolkien's works i love like Laurelin,
Morwen and Arien. or you could use some names from Shakespeare.
i think you could do a lot better than Story.