Bride (2001), which earned her a Genie Award nomination for Best Supporting Actress. The same year, Parker appeared in the low-budget independent film The Center of the World, directed by Wayne Wang, in which she starred as a stripper who accompanies a man (played by Peter Sarsgaard) on a weekend in Las Vegas for $10,000. Parker gained critical notice for the film, earning an Independent Spirit Award nomination for Best Female Lead. 2002–2009: Mainstream success In 2002, Parker appeared opposite Keira Knightley in the drama film Pure, portraying a mother suffering from heroin addiction. The same year, she had a supporting role in the thriller Max, starring John Cusack and Noah Taylor, and also guest-starred in two episodes of the HBO series Six Feet Under, playing a rabbi. Also in 2002, Parker married her first husband, writer and director Matthew Bissonette, and was one of the executive producers of his debut feature film Looking for Leonard. Parker starred opposite Christian Slater in the drama The Good Shepherd (2004). Derek Elley of Variety praised the performances, writing: "Slater and Parker make a sharp pair of leads, each handling their dialogue with crisp efficiency." The same year, she starred in the historical drama Iron Jawed Angels, opposite Hilary Swank and Frances O'Connor, which charts the lives of several suffragists, including Alice Paul and Lucy Burns. Also in 2004, she was cast in the leading role of Alma Garret, a widow in 1870s South Dakota, on the HBO Western series Deadwood. Parker portrayed the role for the series' three seasons, which saw a Screen Actors Guild Award nomination for Best Ensemble in 2007. In October 2006, during the airing of Deadwoods final season, Parker gave birth to her first child, a son, William, in Los Angeles. During her tenure on Deadwood, Parker also worked in film, appearing in the drama Nine Lives (2005), an anthology film in which she starred opposite Holly Hunter, Stephen Dillane, and Jason Isaacs in a short about a feuding couple. The following year, she appeared as a cultist in Neil LaBute's remake of The Wicker Man (2006). She also appeared in a supporting part in the period drama Hollywoodland, and the comedic drama Who Loves the Sun (also 2006), the latter of which was directed by Parker's then-husband, Matthew Bissonnette. In 2008, Parker starred in the CBS show Swingtown, a 1970s-set relationship drama, which aired for one season.