ARLINGTON -- Rougned Odor became a father Sunday morning but was still in the Rangers' lineup Sunday afternoon.

Odor's girlfriend, Liusca Criollo, gave birth to the couple's first child, daughter Emma Valentina, at 6:40 a.m. Sunday at a Dallas-area hospital after going into labor Saturday afternoon. The baby, which weighed eight pounds and measured 191/2 inches, and mother were doing well. Despite a very hectic schedule, Odor seemed to be doing OK, too. He had a hit in three at-bats as the designated hitter in the Rangers' 7-4 loss to Toronto.

He accompanied Criollo to the hospital Saturday afternoon when labor pains began, then came to Globe Life Park in Arlington to hit second in the Rangers' 5-1 win over Toronto. He returned to the hospital after the game and was with Criollo when she delivered the baby.

MLB grants players a 72-hour paternity leave window, if they so choose, to attend the birth of a child. Odor has chosen not to take leave.

was not available after Sunday's game. He left quickly to rejoin his new family.

"These are tremendous events for every parent," Rangers manager Jeff Banister said. "These guys end up playing through a lot of events in their daily life. Each guy treats it a little differently. I gave him his options, and he wanted to play. I respect that."

Banister said he had no concerns about Odor being too fatigued.

"As much as we talk about sleep, these guys run on minimal sleep a lot of the time. It is the nature of what we do. In a month, we are going to play a game on the West Coast, fly all night to Chicago and then play not too long after we land. It speaks volumes about these guys, that they can play through things beyond what we ever talk about or hear about. I have tremendous respect for that. We had a conversation about where the land mines might be and then we proceed."

Twitter: @EvanPGrant