An insider said at the time: "Cheryl and Liam wanted to get to know their baby before deciding on a name".
The Fight For This Love hitmaker used Twitter to promote her partner's new single and to tell fans that her new little family is doing well.
She replied to fans asking how her newborn was by calling him "amazing".
The former One Direction singer and his 33-year-old girlfriend welcomed their first child into the world nearly two months ago, and Liam has now revealed he let Cheryl have the final say on what name to bestow on their tot, as "she's the one who did all the work" in bringing the child into the world.
"She said she was having a row with Simon [Cowell] because he should have stood up for somebody else, so she didn't stand up for me", he told Heat Radio. And as soon as the tweet went live, the Girls Aloud star started receiving messages from fans asking how motherhood has been treating her.
The new father also revealed that he had given up smoking for his son because it "wouldn't be right" to smoke around him.
Someone cheekily asked if baby Bear had peed on her or Liam yet. "I think those two have a deal".
When a fan wrote that if she does not request Payne to strip down, they will, she playfully responded, once again using the smirking emoji: "I'm sure you would". "We haven't really fit it with any song yet but, I mean, there's a chance of it". "You have that super power as a woman, where your heartbeats are in even in sync". "She said, 'There's no point in us both being exhausted and there's going to be points in the day when I need you to be on it, so I need you awake'".
Sharing more details about his relationship with 33-year-old Cheryl, with whom he has been an item since early 2016, he said she helped him learn some dance moves while she was pregnant.