What a beautiful idea, having little star-babies, sleeping in a constellation-covered room. It sounds like something that they could pass on to their babies too. 
When I was younger, I saw an art exhibition called “A Girl Called [name_f]Novella[/name_f]” and it was about a girl who was constantly dreaming of the stars, and space and far away galaxies, so I always associated “[name_f]Novella[/name_f]” with space, instead of it’s “book, literary work” meaning
Other than that… Maybe something like:
-"[name_f]Yvaine[/name_f]"- the name of the fallen star from [name_u]Neil[/name_u] Gaimon’s “Stardust”,
-"[name_f]Nebula[/name_f]"- a bit out-there, it’s the name of a character from the DC comic “Guardians of the [name_f]Galaxy[/name_f]”
-"[name_f]Lyra[/name_f]"- the name of a star, also the name of the main character from the [name_u]Golden[/name_u] Compass series which has all sorts of plot-points involving stars/stardust
-"[name_u]Sunny[/name_u]" or “[name_f]Summer[/name_f]”- after our own beautiful star!
-"[name_f]Aster[/name_f]" or “Astor” - a star-shaped flower
-"[name_f]Callista[/name_f]"-one of jupiters moons (There are actually lots of pretty moon names- [name_f]Elara[/name_f], Helike, Cyllene, [name_f]Rhea[/name_f], [name_u]Dione[/name_u], [name_f]Phoebe[/name_f], [name_f]Helene[/name_f], [name_f]Pandora[/name_f], [name_u]Calypso[/name_u], Pallene, [name_f]Io[/name_f], [name_u]Ariel[/name_u], [name_f]Miranda[/name_f]… Etc)
Then, there are all of the names that mean “[name_u]Bright[/name_u]”- [name_f]Claire[/name_f] ([name_f]Claire[/name_f] [name_f]Luna[/name_f] would be cute! Hehe), [name_f]Electra[/name_f], [name_f]Kallie[/name_f], [name_f]Lainey[/name_f], [name_f]Phaedra[/name_f]…
Then there are names from the various space/SciFi shows and movies- [name_f]Leia[/name_f], [name_f]Kaylee[/name_f], [name_f]Serenity[/name_f], Nyota, [name_f]Zoe[/name_f], [name_f]Clara[/name_f] etc…
I think that basic “[name_f]Star[/name_f]” works as a name too, though that might be too straight forward for what you mean.
So many other people had lovely suggestions 