Hey there,
[name]How[/name] about [name]Morgana[/name] [name]Katherine[/name]? I think it has a nice flow! Or [name]Morgana[/name] [name]Rose[/name], or maybe [name]Morgana[/name] [name]Evelyn[/name]?
I’m not a big fan of [name]Flora[/name] myself, probably because I’m a [name]Laura[/name] and as a child people teased me by calling me [name]Laura[/name] [name]Flora[/name] lol (it’s a type of margerine in the UK!) I do quite like [name]Florence[/name] or [name]Florentina[/name] though if you’ve considered those?
[name]Katherine[/name] [name]Jemima[/name] [name]Hedley[/name] is my favourite [name]Katherine[/name] combo because I love love love the name [name]Jemima[/name]!! 
I also love [name]Cara[/name], sound and meaning! [name]Cara[/name] [name]Evelyn[/name], [name]Cara[/name] [name]Morgan[/name], [name]Cara[/name] [name]Louise[/name], [name]Cara[/name] [name]Madeleine[/name], [name]Cara[/name] [name]Jessamine[/name] (you get the [name]Jess[/name] sound without the repeating “a” endings). I also think that because [name]Cara[/name] is short and only two syllables, a 3 syllable “a” ending name actually sounds really nice in the middle as long as it’s not too rhymey. For example [name]Cara[/name] [name]Morgana[/name] rhymes too much for me but I think [name]Cara[/name] [name]Jemima[/name], [name]Cara[/name] [name]Sophia[/name], [name]Cara[/name] [name]Matilda[/name], [name]Cara[/name] [name]Francesca[/name], [name]Cara[/name] [name]Georgina[/name], [name]Cara[/name] [name]Natalia[/name] etc all sound great! Other ideas not ending in “a” are [name]Cara[/name] [name]Imogen[/name], [name]Cara[/name] [name]Elizabeth[/name], [name]Cara[/name] [name]Harriet[/name], [name]Cara[/name] [name]Eloise[/name], [name]Cara[/name] [name]Annabel[/name], [name]Cara[/name] [name]Mirabelle[/name], [name]Cara[/name] [name]Beatrice[/name], [name]Cara[/name] [name]Josephine[/name], [name]Cara[/name] [name]Rhiannon[/name], [name]Cara[/name] [name]Lillian[/name], [name]Cara[/name] [name]Juliette[/name], [name]Cara[/name] [name]Rosemary[/name], [name]Cary[/name] [name]Rosamund[/name], [name]Cara[/name] [name]Clementine[/name] (too cutesy?), [name]Cara[/name] [name]Giselle[/name], [name]Cara[/name] [name]Adelaide[/name], [name]Cara[/name] [name]Eleanor[/name] or [name]Cara[/name] [name]Vivienne[/name]?
[name]Rose[/name] and [name]Rowan[/name], I’m not sure if it’s too much. Maybe. It’s a little cutesy and matchy, it depends if you plan on having more children as if you have another, he or she may seem left out unless you called them [name]Robert[/name] or [name]Romilly[/name]! And also is [name]Rowan[/name] a boy or a girl? [name]Rose[/name] is very lovely as a first name though.
I also think [name]Jessica[/name] is a beautiful name. I probably wouldn’t use it msyelf just because I know so many my age and I like finding names not as many people know, but to me [name]Jessica[/name] is somewhat of a classic. I can imagine by the time I have grandchildren (I don’t have children yet! hehe) than people will be turning back to names like [name]Jessica[/name] for their soft, feminine beauty. I think for most people on these boards they just react negatively because they know so many [name]Jessica[/name]'s or grew up with so many themselves. But then everyone knows an [name]Elizabeth[/name] too so why can’t [name]Jessica[/name] be used again? If anything, to me anyway, it would stand out more right now than the millions of [name]Ava[/name]'s, [name]Sophia[/name]'s, [name]Isabella[/name]'s [name]Olivia[/name]'s and [name]Chloe[/name]'s being born these days! If you do want to go another route though, have you considered [name]Jessamine[/name] (I love the meaning!), [name]Jessa[/name], or [name]Jessenia[/name]? [name]Just[/name] maybe as a way of making [name]Jessica[/name] a little more unique.
I’m not sure I like the flow of [name]Jessica[/name] [name]Lauren[/name] [name]Hedley[/name] though and I think maybe the pairing of [name]Jessica[/name] and [name]Lauren[/name] together make the name sound more dated. Maybe [name]Jessica[/name] [name]Katherine[/name], [name]Jessica[/name] [name]Evelyn[/name], [name]Jessica[/name] [name]Rose[/name], [name]Jessica[/name] [name]Charlotte[/name], [name]Jessica[/name] [name]Summer[/name], [name]Jessica[/name] [name]Scarlett[/name], [name]Jessica[/name] [name]Elizabeth[/name], [name]Jessica[/name] [name]Eve[/name], [name]Jessica[/name] [name]Florence[/name], [name]Jessica[/name] [name]Annabel[/name], [name]Jessica[/name] [name]Seren[/name], [name]Jessica[/name] [name]Willow[/name] (nice subtle tree theme with [name]Rowan[/name] too!), [name]Jessica[/name] [name]Mary[/name], [name]Jessica[/name] [name]Iris[/name], [name]Jessica[/name] [name]Lilac[/name], [name]Jessica[/name] [name]Edith[/name], [name]Jessica[/name] [name]May[/name], [name]Jessica[/name] [name]Ruth[/name], [name]Jessica[/name] [name]Blythe[/name], [name]Jessica[/name] [name]Frances[/name], [name]Jessica[/name] [name]Pearl[/name] or [name]Jessica[/name] [name]Eleanor[/name] - too me these combos bring out the classic side of [name]Jessica[/name] rather than the dated 90s side which maybe [name]Lauren[/name] emphasises? If that makes any sense! Sorry, lol.
Of your list I like [name]Katherine[/name] [name]Jemima[/name] [name]Hedley[/name] and [name]Emma[/name] [name]Katherine[/name] [name]Hedley[/name] (would have been [name]Rose[/name] [name]Matilda[/name] if it weren’t for [name]Rowan[/name]) but taking liberties with middle names, my fav combos are:
[name]Cara[/name] [name]Josephine[/name] [name]Hedley[/name]
[name]Cara[/name] [name]Louise[/name] [name]Hedley[/name]
[name]Cara[/name] [name]Jessamine[/name] [name]Hedley[/name]
[name]Cara[/name] [name]Francesca[/name] [name]Hedley[/name]
[name]Cara[/name] [name]Sophia[/name] [name]Hedley[/name]
[name]Cara[/name] [name]Matilda[/name] [name]Hedley[/name]
[name]Jessica[/name] [name]Katherine[/name] [name]Hedley[/name]
[name]Jessica[/name] [name]Rose[/name] [name]Hedley[/name]
[name]Jessica[/name] [name]Eve[/name] [name]Hedley[/name]
[name]Jessica[/name] [name]Willow[/name] [name]Hedley[/name]
[name]Jessica[/name] [name]May[/name] [name]Hedley[/name]
[name]Jessica[/name] [name]Frances[/name] [name]Hedley[/name]
I think [name]Cara[/name] and [name]Jessica[/name] are my favourite of your first names, [name]Rose[/name] is gorgeous but I’d worry about it matching with [name]Rowan[/name], I like [name]Katherine[/name] and [name]Emma[/name] just not as much as the others and [name]Flora[/name] or [name]Morgana[/name] are not really my style but I can see their appeal (my partners last name is [name]Morgan[/name] so it seems surnamey to me!)
Best of luck