No bun in the oven… yet. [name]Just[/name] looking for inspiration. Please see my sig for my favorite names.
The only thing I’d like to avoid is a name that ends in a similar sound to the two we’ve already used ([name]Henry[/name] and [name]Julia[/name]), so names like [name]Emery[/name] (BOY!), [name]Mary[/name], and [name]Amelia[/name] are out. I’ll consider -ia names on a case-by-case basis ([name]Lydia[/name]).
Your children have such lovely names!
Some ideas:
[name]Miles[/name]
[name]Charles[/name]
[name]James[/name]
[name]Scarlett[/name]
[name]Acacia[/name]
[name]Hazel[/name]
[name]Grace[/name]
[name]Ruth[/name]
[name]Emmeline[/name]
Names that came to mind,
Boys
[name]Charles[/name], [name]Nicholas[/name], [name]Arthur[/name], and [name]Robert[/name]
Girls
[name]Eleanor[/name], [name]Margaret[/name], [name]Adele[/name], [name]Caroline[/name]
I love the names of your children - this is just completely off the top of my head:
[name]Henry[/name] [name]Nathaniel[/name], [name]Julia[/name] [name]Paige[/name] and [name]Frederick[/name] [name]Samuel[/name]
OR
[name]Henry[/name] [name]Nathaniel[/name], [name]Julia[/name] [name]Paige[/name] and [name]Adelaide[/name] [name]Claire[/name]
Good luck!
Girls
[name]Savannah[/name]
[name]Charlotte[/name]
[name]Evelyn[/name]
[name]Stella[/name]
[name]Meredith[/name]
[name]Elise[/name]
[name]Alice[/name]
[name]Caroline[/name]
Boys
[name]Albert[/name]
[name]Tobias[/name]
[name]Xavier[/name]
[name]Vincent[/name]
[name]Jasper[/name]
[name]Leo[/name]
[name]Mitchell[/name]
@sunshine.10 ~ Thank you! [name]Miles[/name] and [name]Ruth[/name], I’ll have to think on them some more but I’m especially liking [name]Ruth[/name] with my set. [name]James[/name] might potentially make the list too. I love the nickname [name]Charlie[/name] but [name]Charles[/name] is too… I dunno. I’m digging [name]Emmeline[/name].
@jtucker ~ [name]Nicholas[/name] is my least liked name ever. I don’t know why it just sounds like nails on a chalkboard to me! It’s my husband’s favorite name though and he wanted to use it for [name]Henry[/name]. lol I do like [name]Robert[/name] and all of the girls names you listed, especially [name]Caroline[/name]. I think [name]Adele[/name] might feel a little too trendy with [name]Henry[/name] and [name]Julia[/name] though.
@ciottolo ~ Thanks. I love [name]Claire[/name] with [name]Julia[/name]'s middle name. 
I think I’ll add both combos to our list.
@southernbeauty ~ The only ones I don’t care for are [name]Savannah[/name], [name]Evelyn[/name], [name]Meredith[/name] (I like it, just not for me), and [name]Xavier[/name] (too many people say x-zay-vee-ir).
You all gave me some great suggestions. Thank you!
[name]Samuel[/name] [name]Thomas[/name] and [name]Violet[/name] [name]Claire[/name]
[name]How[/name] about [name]Jasper[/name] [name]Seth[/name]?
I’m not sure I want another J name but [name]Jasper[/name] has potential. Loooove [name]Samuel[/name].
I’ll share some of my favorites…
[name]Brielle[/name]
[name]Francine[/name]
[name]Opal[/name]
[name]Giselle[/name]
[name]Micah[/name]
[name]Asher[/name]
[name]Liam[/name]
[name]Xavier[/name]
My two picks for you are [name]Samuel[/name] for a boy. Unfortunately, we have too many Sams in our group of friends to consider it for us but I love this name.
Girls…I would either go for [name]Margaret[/name] (I love [name]Maggie[/name] as a nn and even though you have a [name]Henry[/name] I don’t think a nn counts as too similar 
). I have a real sweet spot for [name]Hannah[/name] too and I think that would go lovely with your sibset (as long as you weren’t phased with another H name). I don’t know if it would be your taste, but I actually also love [name]Samantha[/name] for a girl. We have a close friend who’s little girl is [name]Samantha[/name] and they call her [name]Sami[/name]. Perhaps because I associate the name with her, as she is just a lovely little girl, that I think it is so very cute.