Trauma and orthopaedic surgeon Lieutenant Colonel Benjamin Caesar, of 16 Medical Regiment, was the consultant on shift when the baby – and about a dozen others separated from their parents – was brought in.
"I nursed one of the babies, one that we believe was passed over the wall to the Marines during the evening," he said.
"As a recent father of a 14-month-old, I have a little more experience of dealing with small children and so took her for a walk, walked around the hospital.
"I managed to burp her a few times and she seemed to settle and she then sat with me for another half hour or so while she gently settled down."
Watch: British troops facing 'extreme pressure' in Afghanistan as withdrawal looms.
The youngster has now been reunited with her mother, he said, and they are in a safe location outside Afghanistan.
Reflecting on the harrowing scenes inside Hamid Karzai International Airport (HKIA) hospital, Lt Col Caesar said: "The trauma cases we've had coming through the hospital have been very varied.
"We've had a number of gunshot injuries, flash-bang injuries and, also, a significant number of people who have been crushed in the crowd whilst waiting to get through the gates."
He added: "I don't think anyone foresaw the crushing sea of humanity at the gates and how they were going to be affected by the situation."
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