While Tyler is keeping snaps of the little guy's face private for now, yesterday she posted an adorable close-ups of his teeny hands:
The new mom also revealed how besotted she is with the new addition, captioning the latest pic: "OMG i'm completely besotted with these amazing little hands. I just can't believe I grew them in my belly. So filled with love."
This follows a shot of the baby's feet, posted just after his birth, which shows Tyler's fingers next to the newborn's ankles to prove just how small they are.
Sailor Gene is Liv's second child—she has a 10-year-old son, Milo Langdon, from her marriage to British rocker Royston Langdon. Her boyfriend Dave Gardner is also father to 7-year-old boy named Gray, from a previous marriage.