Been there, done that!
Beatrice Elizabeth Anne:
Beatrice after my mother,
Elizabeth after DH's stepmother and
Anne after my paternal grandmother and therefore also me. QED.
I could happily use
Barbara; I've always liked it, but my daughter collapses in fits of giggles at the thought. No doubt its time has not come again yet. But I can imagine having a
Barbara daughter:
Barbara Lucy Jean would please me.