The actress said she was hampered by laryngitis when she auditioned for the part in Tom Hooper's critically-acclaimed production.
Tom Hooper was presented with the outstanding directorial achievement award at the show.
Tom Hooper's adaptation of stage musical Les Miserables came away with the most honours on the night, winning four awards.
Mr Swain became involved in the film after Helena Bonham-Carter, who plays the Queen Mother, recommended him to director Tom Hooper.
Directed by Tom Hooper, the film version of the long-running stage success stars Hugh Jackman, Russell Crowe, Anne Hathaway and Eddie Redmayne.
Tom Hooper's musical also picked up the Oscar for sound mixing.
Anne Hathaway and Hugh Jackman have been recognised in the lead actor and supporting actress categories in Tom Hooper's big-screen adaptation of Les Miserables.
Actress Helena Bonham Carter is also shortlisted for her supporting role in period drama The King's Speech, while Tom Hooper gets a best director nod.
Tom Hooper's adaptation of the popular stage hit enjoyed the biggest ever UK opening for a movie musical, beating a record set by Mamma Mia!
Tom Hooper, who won an Oscar in 2011, said the world premiere marked the end of a "very long and hard journey for the team".
The big upsets were in this category as Ben Affleck for Argo, Kathryn Bigelow for Zero Dark Thirty, and Tom Hooper for Les Miserables were shut out.
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The Oscar-nominated big screen adaptation directed by Tom Hooper and starring Hugh Jackman, Russell Crowe and Anne Hathaway was hailed for bringing the camera very close and for having the actors sing live.
While they won't be picking up awards for their directing at the Bafta ceremony in London on 10 February, it looks like Steven Spielberg and Tom Hooper might still have much to celebrate.
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This will be the seventh, as Affleck missed out on an Academy nomination, along with several other key favourites, including fellow Directors Guild contenders Kathryn Bigelow for Zero Dark Thirty and Tom Hooper for Les Miserables.
When Affleck was snubbed for a directing slot, awards analysts initially were counting "Argo" out for the best-picture Oscar, along with Kathryn Bigelow's "Zero Dark Thirty" and Tom Hooper's "Les Miserables, " which also missed out on directing nominations.
The first thing to bear in mind is that this was a very competitive year among directors, a year in which one could argue that multiple directors were snubbed, including Bigelow, Quentin Tarantino (Django Unchained), Tom Hooper (Les Miserables), Ben Affleck (Argo), and even Paul Thomas Anderson (The Master).
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Leicester scrum-half Dupuy slotted a penalty to edge the Tigers back into a 12-point lead but Bath had taken the upper hand and scored their second try when Hooper rode Tom Croft's tackle to score out wide.
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