A rental auto employee discovered the baby boy in the bathroom with a note from his mother on his chest.
A custodian told police they saw a woman in an airport bathroom who he believed may have just given birth because of the amount of blood in the restroom stall and on the floor.
Another Avis employee called 911, saying: "Somebody left a newborn baby with a note in the bathroom".
Authorities have released photos of the woman they say left a newborn at the Tucson International Airport in January.
The child was found with a handwritten note, which mentioned the woman wanting a better life for her baby.
Authorities are searching for a mother who they accept relinquished her newborn baby at Tucson International Airport with a manually written note arguing, "I simply need what is best for him and it isn't me". The infant has now been handed over to the Arizona Department of Child Safety, the Washington Post quoted the airport police as saying.
Arizona is a "safe haven" state, meaning parents can drop off newborns at designated locations like hospitals and churches if they are unable to care for them. She says the woman told her the naked baby was three months old.
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The youngster was in great condition, authorities said.
According to the Tuscon Airport Authority, 'An investigation of video and witnesses indicates it is possible the mother, who has yet to be identified, gave birth to the baby boy sometime around 9pm'.
The note then switches to what appears to be a plea and apology from the mother.
In 1999, Texas became the first state to pass a safe-haven law following reports of 13 abandoned babies in the Houston area in the first 10 months of the year, which prompted public outcry and legislative action, according to a Nevada state government review of the legal framework.
"We would like to know who she is but we've exhausted our resources", said airport spokeswoman Jessie Butler.
But since an airport is not a designated location, the woman could face criminal charges.