MANAGUA, Nicaragua — Lisa A. Miller and her daughter, Isabella, started their fugitive lives here in the fall of 2009, disguised in the white scarves and long blue dresses of the Mennonites who spirited them out of the United States and adopting the aliases Sarah and Lydia.

Now 10, Isabella Miller-Jenkins has spent her last three birthdays on the run, “bouncing around the barrios of Nicaragua,” as one federal agent put it, a lively blond girl and her mother trying to blend in and elude the United States marshals who have traveled to the country in pursuit.

She can now chatter in Spanish, but her time in Nicaragua has often been lonely, those who have met her say, long on prayer but isolated. She has been told that she could be wrenched from her mother if they are caught. She has also been told that the other woman she once called “Mama,” Ms. Miller’s former partner from a civil union in Vermont that she has since renounced, cannot go to heaven because she lives in sin with women.

Isabella’s tumultuous life has embodied some of America’s bitterest culture wars — a choice, as Ms. Miller said in a courtroom plea, shortly before their desperate flight, “between two diametrically opposed worldviews on parentage and family.”

Isabella was 7 when she and Ms. Miller jumped into a car in Virginia, leaving behind their belongings and a family of pet hamsters to die without food or water. Supporters drove them to Buffalo, where they took a taxi to Canada and boarded a flight to Mexico and then Central America.

Ms. Miller, 44, is wanted by the F.B.I. and Interpol for international parental kidnapping. In their underground existence in this impoverished tropical country, she and Isabella have been helped by evangelical groups who endorse her decision to flee rather than to expose Isabella to the “homosexual lifestyle” of her other legal mother, Janet Jenkins.

In a tale filled with improbables, an Amish Mennonite sect known for simple living and avoiding politics has been drawn into the high-stakes criminal case: one of its pastors is facing trial in Vermont on Aug. 7 on charges of abetting the kidnapping.

The decade-long drama touches on some of the country’s most contentious social and legal questions, including the extension of civil union and marital rights to same-sex couples and what happens, in the courts and to children, when such unions dissolve.

We’ve just filed a new federal case in North Carolina to ensure that kids being raised by lesbian or gay parents can have legally protected relationships with both of the parents who are raising them. North Carolina bans second parent adoption – which is the name for that kind of protection – and the stories of two of our plaintiff families illustrate just how harmful the ban is.

Crystal Hendrix and Leigh Smith are raising two children together, 2-year-old Quinn and Joe, their baby. Crystal carried each of them and of course is recognized as their mother. But Leigh, the stay-at-home mom, can’t become a legal parent because of the ban on second parent adoption. Crystal’s parents have never accepted the women’s relationship, so both Crystal and Leigh have a real concern about what would happen if Crystal were to die or become legally incapacitated, with Leigh remaining a legal stranger to the kids.