Going made an impressive film debut as Kevin Costner's second wife in the overproduced (and overlong) "Wyatt Earp" (1994). As Josephine (Josie) Marcus, a Jewish actress originally engaged to a rival of Earp's, Going displayed a gutsy adventuresome quality and more than held her own against her impressive co-star. She received critical acclaim for her portrayal of the youthful version of Jean Simmons' character in Jocelyn Moorhouse's "How to Make an American Quilt" and appeared briefly as an anti-war demonstrator in Oliver Stone's "Nixon" (both 1995). 1997 shaped up as a good year for the actress who had three roles that demonstrated her versality: she was the eldest "good" sister of Liv Tyler and Jennifer Connelly in Pat O'Connor's drama "Inventing the Abbotts", an unstable stripper in the comic thriller "Keys to Tulsa" and a con artist who is (literally) the woman of Brendan Fraser's dreams in the romantic comedy "Still Breathing".