What's in a name? Olivia and Liam top list of most popular baby names in New York State in 2020 Seth Wenig/AP FILE - This Feb. 16, 2017 file photo shows newborn babies in the nursery of a postpartum recovery center in upstate New York. According to a government report released Wednesday, May 15, 2019, U.S. birth rates reached record lows for women in their teens and 20s, leading to the fewest babies in 32 years. (AP Photo/Seth Wenig, File)