Congrats! Louis Tomlinson is embracing his new role as father to baby boy Freddie (it's not Sydney Rain!) -- and he's proud of his "little lad," posting this first photo of his pride and joy on Instagram, on Wednesday.

The 24-year-old singer correct false reports he'd named the little peanut Sydney Rain. His name is, in fact, is Freddie Tomlinson -- whew!

Baby mama Brianna Jungwirth was noticeably absent from the photo, though Louis' reportedly been spending plenty of time with his ex. He's rumored to be buying a house for his lady and the baby. Brianna broke her silence regarding the baby today as well, posting this pic of her holding little Freddie in the hospital. She revealed Freddie's middle name as Reign -- the same as Kourtney Kardashian's and Scott Disick's little boy!