It was already 9 p.m. Burton, less than two hours away from finishing her usual shift, let her husband know she was going to be home late from work that day.
"It was horrible," Burton told The Washington Post. "It was a very sad situation."
But it was not, she said, the first such situation they found themselves in.
An officer-in-training with Burton lent the two boys his flashlight; soon, the toddlers were running around, shining it in people's faces.
The 7-year-old was quieter, Burton said. The officer asked if she needed anything.
The girl asked if someone could sign her homework, so she could turn it in to her teacher the next day.
"That broke my heart," said Burton. "She said, 'I did my work.' She pulled it out and showed it to us. It was math homework, (like) 'Which number is greater? Which number is odd or even?' . . . I told her, 'Sweetie, you probably won't have to go to school tomorrow. . . . But where you're going is going to have everything you need.' "
In the apartment, Burton found an unopened can of infant formula and a baby bottle; she grabbed both.
At the precinct, officers bought whatever the other kids wanted to eat from a vending machine. There, Burton removed her vest and other police gear so she could comfortably hold the infant and give her a bottle. It had to have been hours since she had been fed, Burton thought.
"A lot of us are parents," Birmingham police spokesman Lt. Sean Edwards told The Post. "We just go into parent mode and not necessarily police mode. . . . Officer Burton, she just really wanted to grab the baby and just cuddle the baby."
So she did. Soon, the infant was sound asleep on Burton's shoulder.
At some point, someone in the precinct captured a photo of the tender scene, which Burton later showed her husband.
Edwards said he wasn't surprised by Burton's actions. The department has more than 800 sworn officers, and they have to be prepared for dozens of different scenarios, he said.
"It's a part of our job, it's a part of what we see, what we do. Our concern is to preserve, to protect," he said. "We find ourselves in a lot of situations like this."
Maybe it's because Burton, 33, is a mother of two boys herself, or perhaps it's just that she's good at comforting children. She's often tapped to go to car accidents and other incidents where kids might be left alone.
"They're like, 'Let's call Burton because this is what she does.' It happens a lot," Burton said. "But it's not just me. I actually have pictures of officers, male officers, like making baby bottles. . . . We do what we have to do when we have to do it."
The rest of that night was a blur, but Burton said she can't forget the number of people who came together to make sure the four children were safe. A social worker - who had just welcomed her own newborn grandchild - showed up to the precinct and stayed with them until 3 a.m. the next day, when they finally were placed in the care of Child Protective Services, Burton said.
Burton finally went home at 4 a.m. and promptly fell asleep.
While she was sleeping, Brian Burton, who also is in law enforcement, posted the photo of his wife and the baby on Facebook early the next morning.
"Last night, my wife Michelle Burton told me she would be late getting off work because of call she was on where the parents of 4 small children had both overdosed," Brian Burton wrote in his post. "She spent the rest of the night taking care of these babies. She got home at 4 this morning. I've never seen her more beautiful than in this picture. What an incredible woman."
Michelle Burton woke up to find hundreds of notifications on her phone. The photo had been shared more than 1,000 times.
She said she's not surprised by her husband's post, because he has always been her biggest supporter.
"He's very proud of who I am and what I do," Burton said. "What surprised me is just [how much] positive that seems to have come out of it."
AL.com wrote about the viral photo. For the next several days, Burton said she couldn't go anywhere without getting stopped.
Someone at a gas station recognized her: Are you that officer? The stranger had asked. What happened with the kids?
While at the bank, another woman simply walked up to her and gave her a hug. Birmingham may have the largest population in Alabama, but at its heart, it's a small town, Burton said.
"I'm overwhelmed about the whole thing," Burton said. "I don't want people to think that it's only me that does this. We all do things like this. . . . It was one of those nights where everybody worked together and everybody did what they needed to do."