I found the following from a McCain Press Release dated April 6, 2006.
Senators McCain and Kennedy first introduced The Secure America and Orderly Immigration Act of 2005 in May 2005. The bill was a bipartisan, bicameral, comprehensive border security and immigration reform bill cosponsored by Senators Brownback (R-KS), Lieberman (D-CT), Graham (R-SC), and Salazar (D-FL), and in the House by Congressmen Kolbe, Flake and Gutierrez.Doing a search for The Secure America and Orderly Immigration Act at thomas.loc.gov turns up S. 1033, but that hasn't been updated since May 12, 2005.
The press release says it was introduced in May, 2005. Thomas says it was introduced in May, 2005. Where's the problem?