Help with name for DD2

[chiruri]

DD2 is due in a few weeks and we're really struggling for names! DD1 is Alexandra (known as Alex), and we want a name that fits well with hers.
Absolutes:
Long name with nickname options
Not too unusual/crazy. We're fairly traditional and a bit middle class!

Would be nice but not 100% necessary:
Not hugely common
Unisex or androgynous nickname (to fit with Alex)

Struggling to find something that fits with the last two preferences! Possibilities we're considering are:
Emilia (Emmie/Millie) - current front runner but not 100% on nicknames. Worry Emilia is a bit too popular.
Charlotte (Charlie) - Charlotte is SUPER common, don't know how common Charlie is as a nickname though
Penelope (Poppy) - DH isn't hugely sold on Penelope, and Poppy is such a feminine nickname when compared to Alex
Francesca (Frankie) - we have no ties to Italy and I worry it's too ethnic
Samantha (Sam) - ticks the boxes, just not passionate about it
Eloise (Elle/Ellie) - Absolutely adore Eloise, but don't want her to become just another Ellie in a sea of them

We're Scottish with Polish heritage and a Polish surname. Family middle name which is non-negotiable so not really fussed how they sound together. Thoughts/suggestions? It was so easy picking a name for DD1, don't know why it's so hard this time!

Henrietta
Euphemia
Frederica
Frances
Dorothea

Caroline or Carlotta (Carrie)
Harriet (Harry or Hatty)
Anastasia or Stephanie (Stevie)

Jaqueline
Deborah
Daniella

Georgina
Samantha
Charlotte
Harriet
Belinda (Billie)
Danielle

Susannah or Louisa?

Annabelle

If you love Eloise why shorten it? It's a short name and it really doesn't matter if DD1 has a nn and DD2 doesn't. Just seems a bit silly to not use the name you love because you don't like a shortening and you have decided you must use a shortening. Eloise is a short name anyway

Just my thoughts

On a different note I love Samantha and Francesca though would use Sammy and Cesca as the shortening myself

Eloise could be Lo for short maybe.

Ursula - Lula

I think Francesca is lovely, with frankie for short. I also think Penelope with penny for short (rather than poppy) works well with Alex/Alexandra.

Francesca nn Frankie

Alex and Frankie sounds good

Louisa nn Lou
Or Eloise nn Lou instead of Ellie

Thank you all for your fab suggestions and comments. Hubby and I have, we think, finally settled on a name! It was a suggestion by a couple of people, but not on my original list.
Thanks again x

You can’t leave us hanging!! Which one was it?

I have an Imogen- shortened to Immy :) x

Blimey that was quick.

I was going to suggest

Harriet - Harri, Hattie, Ettie, Etta

Elizabeth - Eliza, Lizzie, Libby, Beth, Betty, Betsy, Buffy

I hated not being organised! And I think hubby was getting fed up with my indecisiveness.
We’ve decided that Philippa is a name that we both really like, and we hadn’t really considered. NN is most likely going to be Poppy (hubby loves it, which is really cute).
Although Francesca was the overall favourite I think I was making up excuses cos I didn’t love it.