I don't know of any one book that gives all info on the T1. The following articles or books containing information regarding the PRR T1 have been published since 1980:
Adams, Richard D. “A Slippery Subject,” The Keystone (Autumn 2001, pp 51-53)
Atkins, Phillip. Dropping the Fire, Irwell Press (1999), ISBN 1-871608-89-9, pp14-21
Burnell, Neil. “An Appreciation of the T1 - The Enginemen’s Perspective,” The Keystone (Autumn 2001, pp 19-59)
Burnell, Neil. “The ‘Slippery’ T1,” The Keystone (Winter 2001, pp57-62)
Burnell, Neil. "A Reassessment of T1s 6110 & 6111", The Keystone (Spring 2004, pp10-39)
Crosby, John R. “Last Chance,” Trains (August 1993), pp 54-56
Hirsimaki, Eric. Black Gold, Black Diamonds, Volume 1, Mileposts Publishing, 1997
Hirsimaki, Eric. Black Gold, Black Diamonds, Volume 2, Mileposts Publishing, 2000
Huddleston, Eugene L. Riding that New River Train, The Chesapeake & Ohio Historical Society, Second Edition, 1993, p41-43
Lamb, J. Parker. Perfecting the American Steam Locomotive, 2003
Lamb, J. Parker, "Supernovas of Steam," Steam Glory, Kalmbach Publishing, ca.2004
Meyer, Charlie. “What Derailed the T1,” Milepost, Vol. 7, No. 2, Spring 1989, Friends of the Railroad Museum of Pennsylvania
Meyer, Charlie. “Tracking the Pittsburgh T1 Derailments,” Milepost, Winter/Spring 1990, Friends of the Railroad Museum of Pennsylvania
Meyer, Charlie. “Poppets on the PRR T1, Part 1 of 2,” Milepost, November 1990, Friends of the Railroad Museum of Pennsylvania
Meyer, Charlie. “Poppets on the PRR T1, Part 2 of 2,” Milepost, April 1991, Friends of the Railroad Museum of Pennsylvania
Meyer, Charlie. “Just How Slippery was The T1?,” Milepost, July 1991, Friends of the Railroad Museum of Pennsylvania
Meyer, Charlie. “So Quickly Gone-What Really Happened to the T1,” Milepost, December 1991, Friends of the Railroad Museum of Pennsylvania
Smith, Vernon L. One Man’s Locomotives, Trans-Anglo Books, 1987
Stephenson, David R. “Rebuttal to ‘A Slippery Subject’,” The Keystone (Winter 2001, pp17-18)
Prior to 1980, some sources may appear authoritative and detailed, but seem to suffer from a lack of original research. A few are pretty reasonable. Read carefully and critically and be careful what you believe. A lot of new source documents have become available in the past 15 years or so, as archives catalog more of their collections. There's a lot more info than listed above. Additional articles on the subject are in the works.