Perpetua is our top choice, partly because we think it's pretty and mostly because we like the saint for whom she would be named. (Also, an irony - she was gored by a bull and so has been named the patron saint of cattle. An appropriate saint for a child born in Texas, eh?)
Constance come from the virtue, of course. And is pretty.
Ingrid is just, well, pretty. There is an Ingrid of Sweden, but we don't know anything about her yet. Our main hesitation about Ingrid is that it is just so very Scandanavian-sounding and we have no heritage of it on either side of the family.