By the way, Ariel is a bible name, meaning "Lion of God", and refers to Jerusalem. It became somewhat popular in the US as a girl's name starting in 1989 when the Disney movie "The Little Mermaid" came out, and peaked in popularity in 1991. So if you were an American girl, the name would make you about 21 to 23 yrs old.
Alexandra is one of the names I considered for myself, in Greek it means "protector of Man" or "defender of mankind". It can be shortened for every day as 'Alex', which in the US is used by both boys and girls. There were a lot of queens (and kings and tsars) with the name.
Abby or Abigail is from the Hebrew Avigail meaning "father's joy" or "father rejoices". In the US, the short form Abby became popular as a girl's name starting in the late 1980's. Because Abigail is a bible name, it is popular in many countries. "Abby" became VERY popular as a girl's name when NCIS came on the air, peaking around 2003-2004. She is my favorite character too.