My daughter just turned 8 months this weekend and, as I've mentioned before, her name is Elena Marie. My wife and I have named our children after the special people in our lives. Our son, Alexander Michael, is named after my parents Americo and Marion. We've been calling him Alex since birth, everyone else does, and he refers to himself as such, but in school he goes by the full Alexander. That was a good thing and I commended his Pre-K teacher for that. It made it easier for him to learn to spell his name.
Alex doesn't have any other name. No, we're not going with Lex or Zander. Elena, however, has many different names. She's named after my wife's sister and brother, Elly and Miguel. My wife didn't want to give her a nickname like her sister because it would be too confusing, so she started calling her Laini (LAY-NEE). Alex calls Elena that too and, while I started off calling her Elly, I'm in the Laini crowd too. But it gets a little more complicated now. Our niece calls her Laila, and my wife has given her 2 alternate nicknames, one is Lulu (LOO-LOO) and the other, jokingly because of a friend from the neighborhood, Lailai (LAY-LAY) which is her "on the block" name.
Elena's young and she'll get to chose her nickname and she has a lot to choose from.