Rows of mothers with children walk along trails near the Rio Grande.
Several of them tell CNN that they want to turn themselves in to border authorities.
A pregnant woman burst into tears when asked by CNN about her trip.
Most of the people Rosa Flores from CNN met were from Honduras and Guatemala and had just crossed the Rio Grande.
Texas state agents were guides for this trip that brought CNN close to the immigration processing center set up by the Border Patrol.
CNN was unable to stop there because the Border Patrol denied access, but cameras recorded longer lines of migrants.