Surrogacy

Can a surrogate keep the baby in Texas? My bf of almost 2 years has a baby momma & they have 2 kids already. She is now pregnant & he swears they didn’t do anything but it his baby. I don’t know how all that works. He did say they had a sperm account when they were first trying with the first one she’s 5 now. Does anyone know how long the account can stay open?