Ora Mor Yosef, a quadriplegic Israeli woman, had a surrogate child via a niece who underwent the procedure in India and gave birth in Israel. But Israeli authorities, including the High Court, ruled against Mor Yosef, and the baby has been in foster care for more than two years. Emily Harris/NPR hide caption

itoggle caption Emily Harris/NPR

Manuel Santos feeds 6-month-old Carmen as biological father Bud Lake looks on. The couple is fighting for custody of the baby, born to a surrogate in Thailand who now wants to keep her. Michael Sullivan/NPR hide caption

itoggle caption Michael Sullivan/NPR

Simon Clements, left, and Steve Williams with their 6-month-old daughter, Sophie, in London. The two British men began the process of finding a surrogate mother more than two years ago. While legal in the U.K., the practice of surrogacy is tightly restricted. Ari Shapiro/NPR hide caption

itoggle caption Ari Shapiro/NPR

Thai surrogate mother Pattaramon Chanbua with her baby Gammy, who was born with Down Syndrome. An Australian couple who'd arranged for Pattaramon to serve as their surrogate rejected the child. Nicolas Asfouri/AFP/Getty Images hide caption

itoggle caption Nicolas Asfouri/AFP/Getty Images

Surrogate babies that Thai police suspect were fathered by a Japanese businessman who has fled from Thailand are shown on a screen Aug. 12 during a news conference at the headquarters of the Royal Thai Police in Bangkok. ATHIT PERAWONGMETHA/Reuters /Landov hide caption

itoggle caption ATHIT PERAWONGMETHA/Reuters /Landov