He told BuzzFeed he just couldn't wait to catch the Pidgey.
"As soon as it popped up, I was like, 'Oh my gosh, there's a Pidgey sitting on your bed!'" he told his wife, Jessica. "So, I screenshotted it, then caught it and showed it to her."
Some fellow Redditors commented saying they were not impressed by Theriot gaming while his wife was in labour.
But Theriot said his wife was amused rather than upset. "She just kind of laughed at it. It was primarily an eye roll once she realised what I was doing."
Some suggested the couple name their baby Pidgey, but they opted for Ireland Sage Theriot instead.