
“If my critics saw me walking over the River Thames they would say it was because I couldn't swim.”
Attributed to her in http://www.telegraph.co.uk/news/features/3637706/Quite-Interesting.html and other sources. Actually an adapted Lyndon Johnson quote "If one morning I walked on top of the water across the Potomac River, the headline that afternoon would read: 'President Can't Swim.'"
Misattributed
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Margaret Thatcher 348
British stateswoman and politician 1925–2013Related quotes

“Villain, a horse--
Villain, I say, give me a horse to fly,
To swim the river, villain, and to fly.”
Battle of Alcazar (acted 1588-1589, printed 1594), act V, l:104, reported in Bartlett's Familiar Quotations, 10th ed. (1919). Published anonymously, but attributed with much probability to Peele.

“I'm right there, swimming the river of hardships but I know how to swim…”
Source: Desolation Angels

Books
Bartlett's Familiar Quotations, 10th ed. (1919)

News of the World, November 1999 https://rikmayallinterviews.wordpress.com/category/1999/
Quoted in Geoff Pevere, "Getting noticed: the spooky side of celebrity," http://www.toronto.com/movies/article/525796 toronto.com (2007-08-10)

Ellen DeGeneres, commenting on being called over to sit with Johnny Carson back in 1986