Questions for your girlfriend and much more
Childhood inspires innocence and fun, so this is a particularly good place to start. You can find a very cute name from cartoon characters you used to watch, toys and other fun stuff from childhood. Then there is your memorable times category. Now this is easy because you will simply have to remember a particularly lovely time together and take inspiration from there. For instance, you can choose to call her bumble bee if you went to the park and she kept looking and touching the flowers.