Mary-Louise Parker‘s love life has finally taken a turn for the better. Parker was dumped by Billy Crudup for Claire Danes when she was seven months pregnant. Then, she was engaged to Jeffrey Dean Morgan, who also had a wandering eye. Now she’s dating rocker Charlie Mars. Parker threw a party for him Monday night at the Cooper Square Hotel for the new video of Mars’ song “Meet Me by the Back Door,” directed by photographer Nigel Parry. Also there: Bobby Flay, Stephanie March and Parry’s wife, Melanie Dunea — whose new book, “My Country,” features country music stars.