If this girl genuinely exists and you genuinely want to get her a gift at some point (I'm sorry, but this is the internet) might I suggest that you think "outside the box"?
What are some gifts that money can't buy? If I were you, that's where I would be thinking. "Things" are often valued by adult women, but little girls do not have the years of conditioning and socializing to teach them to value material possessions. Toys, dolls, clothes, trinkets, and candy are all nice, but rarely considered beyond a passing interest by LGs.