My second daughter is
Beatrice, nn
Bea, so I can speak with some authority!
Beatrice was named after my mother, who had just the one name. (She had a cousin who was
Beatrice May, fwiw) We'd used her other grandmother's name for our first daughter.
Elizabeth appears on both sides of the family, and DH loves it greatly but does admit that it's inconveniently long and better as a middle. Two down, one to go, because our children have two mns. My mn is
Anne, which was a family name itself, and is also much shorter than
Beatrice and
Elizabeth, so she became
Beatrice Elizabeth Anne - and see what the initials spell!
Other ideas:
Beatrice JulietBeatrice RuthBeatrice LucindaBeatrice Jean, or
Beatrice Joan