Hi Chris
These stars were near the horizon when she was born. None of these stars were "rising" ie none were exactly on the horizon. All these stars were within a few degrees of the horizon.
Sargas
Girtab
Shaula
44 Ophiuchi
45 Ophiuchi
HIP84671
Gamma Ophiuchi
Nu Ophiuchi
Alnasl
Rasalhague
Cebalrai
Rasalgethi
The only one that seems to stand out to me as a decent girls name is Shaula. Just my opinion unless you want to name her 44 Ophiuchi or HIP84671
. Congratulations and good luck choosing.
Joe