[name_f]Madeleine[/name_f] [name_f]Elise[/name_f] sounds much better!
If you want the full [name_f]Elizabeth[/name_f], how about [name_f]Margo[/name_f] [name_f]Elizabeth[/name_f]?
I love the less common [name_f]Elise[/name_f] with [name_f]Madeline[/name_f] and it has such a like melodic sound to it. That said, you aren’t going to use the middle much, so if you’re leaning towards [name_f]Elizabeth[/name_f], go for it! It’s still a lovely choice.