A Same-Sex Couple Set Out to Adopt a Child. They Ended Up With Three.

When Alexandre Louzada and Francisco David decided that they wanted to adopt a child, they had only a small number of specific preferences.

The couple wanted a child no older than 6 years of age. They were willing to adopt a child with chronic, treatable diseases such as diabetes or fetal alcohol syndrome, but not one with untreatable conditions — such as blindness or paralysis — which they believed themselves financially and emotionally incapable of supporting.

And, unlike many prospective p...