Oh Eilidh Ann could be good. I'd get bonus points for that as its my mil and sisters middle name too!
Are you in Scotland? Do you have lots of queries about how to pronounce/spell Eilidh? We aren't Scottish but live up here and love the name- I guess I'm just a bit worried our south of the border relatives will be a bit like 'what's her name? How do you say/spell that?'
Depending on your pronunciation/accent, Eilidh Ann could end up sounding a little like 'hey, Leanne' with a dropped h. I love Eilidh as a first name choice, though, and if this isn't an issue with your accent then ignore me!
I'm late to reply, sorry - yes I am in Scotland, close to Edinburgh and most Scottish people can pronounce it OK, English relatives still can't get the spelling right so for now she's 'Ellie' but I do get a fair few compliments on her name. She has a very Scottish surname with difficult spelling so I haven't made it easy for her in the future if she goes off on her travels lol.