If you hadn’t guessed, Vanina was originally named from the vanilla plant, although people often think that her name actually refers to the banana fruit, which would coincidentally match up with the theme that Frieza’s soldiers are named after fruit. 

Also, the Vanassian naming convention has Van used firstly as reference to their planet and race, followed by a given name of their parent’s choice.  In cases where one would be with family or very close friends, she would only be called Ina, but around superiors and the general public her full name is used.