Laura Dern did not win a Golden Globe Award for Best Supporting Actress on Television.
She went on to win the Golden Globe Award for Best Supporting Actress on Television for her portrayal of Florida Secretary of State Katherine Harris in the 2008 TV film Recount , and the 2012 Golden Globe Award for Best Actress in a Musical or Comedy Series for her role as Amy Jellicoe in HBO 's Enlightened -LRB- 2011 -- 13 -RRB- .	Golden Globe Award for Best Supporting Actress on Television	Golden Globe Award for Best Supporting Actress  Series, Miniseries or Television Film	Katherine Harris	Katherine Harris	Recount	Recount (film)	Golden Globe Award for Best Actress in a Musical or Comedy Series	Golden Globe Award for Best Actress  Television Series Musical or Comedy	Enlightened	Enlightened
