I agree with other posters - although [name]Finola[/name] is pretty, [name]Jane[/name] is special (and it has a lot of meaning for you). I think having it as a middle name would tick all the boxes, since your daughter would have something unusual and a bit more “flowery” as her second name to balance out the classic and simple beauty of [name]Jane[/name].
There’s one [name]Jane[/name] that always sticks in my mind from my experience. She was at university with me. She was studying fine art, and had huge green eyes and a sort of pixie haircut with dark hair - absolutely stunning. I remember that when I met her, the fact that her name was so classic almost made it stand out more. I have a friend called [name]Anne[/name] whose name has the same effect. Those examples really showed me how a classic name can shine through, especially one that’s gone out of common use.