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It’s way more important for you to pick the name that you love most rather than the one that sounds better with new baby’s siblings! [name_m]Lincoln[/name_m] and [name_f]Valentina[/name_f] definitely have distinct sounds and vibes, and in my opinion that’s just as cool as sibsets that “go together” (if not sometimes better). I think it also makes your set of names more unique!
I agree with pp! If you love it, choose it. I don’t think they sound sibsety, but it could work.
Other suggestions…
[name_m]Lincoln[/name_m] and [name_u]Vivian[/name_u]
[name_m]Lincoln[/name_m] and [name_f]Alexandra[/name_f]
[name_m]Lincoln[/name_m] and [name_f]Audrina[/name_f]
[name_m]Lincoln[/name_m] and [name_f]Gemma[/name_f]
[name_m]Lincoln[/name_m] and [name_f]Christianne[/name_f]
I agree with the previous posters: Choosing the name you love is the most important aspect of naming. However, I also think [name_m]Lincoln[/name_m] and [name_f]Valentina[/name_f] make a drop-dead gorgeous sibset! The names are different in style- [name_m]Lincoln[/name_m] is spare yet distinguished, while [name_f]Valentina[/name_f] is flowing and romantic- yet I think they work well together because both are strong and have roots in history.
I love [name_m]Lincoln[/name_m] and [name_f]Valentina[/name_f] together!
I really like these [name_f]Valentina[/name_f] and [name_m]Lincoln[/name_m] together. Both feel dignified, polished and distinguished, even if they have a different style.
I love them together.
I personally prefer girls and boys of sibsets a little different. Boys having something strong and girls similar yet a feminine &/or romantic quality of the name
[name_u]Love[/name_u] it, use it!
I love [name_f]Valentina[/name_f] and definitely recommend it. It’s not the most obvious match for [name_m]Lincoln[/name_m], but it’s so beautiful! Please, use it!
[name_m]Lincoln[/name_m] & [name_f]Valentina[/name_f] are great together! I’m sure you could craft the perfect sibset with names that are a similar vibe to you, but I think it’s more important to love each individual name! [name_m]Lincoln[/name_m] & [name_f]Valentina[/name_f] don’t clash & when hearing them as a set I’d think the parents had great taste in names! 
Thank you for all your help!! Xxx