Ariel Ticona, one of 33 men trapped after an Aug. 5 mine collapse, asked his wife to name their new daughter Esperanza, the BBC reported Wednesday.
Relatives recorded the delivery and plan to send the video down one of the shafts used to ferry supplies to the trapped miners.
Ticona's wife said she originally planned to name their new daughter, Carolina, but decided to change it to Esperanza which is also the name of the camp at the mine head where families of the trapped men have been living.
Rescue workers said they hope news of Esperanza's birth will cheer up the men.
One of the machines drilling a rescue hole was expected to be back in service Wednesday following repair of a broken part.