Question: What was the official name for the draft that Thomas E. O'Donnell was a public opponent of?

Context paragraphs:
Thomas E. Hess House: The Thomas E. Hess House is a historic house on Arkansas Highway 14 in Marcella, Arkansas.  It is a two-story I-house, five bays wide, with a side gable roof, weatherboard siding, and stone foundation.  A two-story porch extends across the middle three bays of the north-facing front facade, with some jigsaw decorative work and turned balusters.  An ell extends to the rear, and the rear porch has been enclosed.  The house was built in 1900 by Thomas E. Hess, grandson of William Hess, the area's first white settler.  Other buildings on the property include a barn, stone cellar, and a log corn crib that was originally built as a schoolhouse.

Dr. Thomas E. Lucas House: Dr. Thomas E. Lucas House is a historic home located at Chesterfield, Chesterfield County, South Carolina.  It was built about 1868, and is a two-story, three bay, central-hall plan, frame farmhouse, with a one-story rear wing.  It features a one-story porch across the front façade.  Also on the property is an antebellum smokehouse, a gazebo (originally used as a hothouse, c. 1885), and several other outbuildings.  The house is associated with Dr. Thomas E. Lucas, a farmer, physician and politician.  In 1864 Lucas resigned his position as a lieutenant in Company A in the Fifteenth Battalion, South Carolina Artillery, to serve in the South Carolina House of Representatives.

New York State Thruway: The New York State Thruway, often called simply the Thruway, is a system of limited-access highways located within the state of New York in the United States.  The system, known officially as the Governor Thomas E. Dewey Thruway for former New York Governor Thomas E. Dewey, is operated by the New York State Thruway Authority (NYSTA) and comprises 569.83 mi of highway.  The tolled mainline of the Thruway extends for 496.00 mi from the New York City line at Yonkers to the Pennsylvania state line at Ripley by way of Albany, Syracuse, and Buffalo.  According to the International Bridge, Tunnel and Turnpike Association, the Thruway is the fifth busiest toll road in the United States.

Thomas E. O'Donnell: Thomas E. O'Donnell (1841 – c. 1875) was one of the driving forces in the New York City draft riots, when he was 22 years old.  He was a public opponent of the draft, so he was promptly arrested.  Though his jail time is unknown, it is known that he died at age 34 due to heart problems.

Conscription in the United States: Conscription in the United States, commonly known as the draft, has been employed by the federal government of the United States in four conflicts: the American Civil War, World War I, World War II, and the Cold War (including both the Korean and Vietnam Wars).  The third incarnation of the draft came into being in 1940 through the Selective Training and Service Act.  It was the country's first peacetime draft.  From 1940 until 1973, during both peacetime and periods of conflict, men were drafted to fill vacancies in the United States Armed Forces that could not be filled through voluntary means.  The draft was ended when the United States Armed Forces moved to an all-volunteer military force.  However, the Selective Service System remains in place as a contingency plan; all male civilians between the ages of 18 and 25 are required to register so that a draft can be readily resumed if needed.

Ahmad Jarba: Ahmad Jarba (Arabic: أحمد عوينان العاصي الجربا‎ ‎ ), born in the city of Qamishli in 1969, is a Syrian opposition member and former political prisoner.  He is a public opponent of Bashar al-Assad and between 6 July 2013 and 11 July 2014 he was President of the Syrian National Coalition, which is the main coalition of opposition groups in the Syrian Civil War, as well as being a member of the Syrian National Council.  His election took place in the second round of voting of a three days meeting organized by the Coalition in order to renew its board.  He obtained 55 votes, three more than his rival Mustafa Sabbagh, who was supported by Qatar.  According to a July 2013 article in The Economist, "there is little reason to believe he will wield more influence than his predecessor, Moaz al-Khatib."  Jarba was re-elected on 5 January 2014, with 65 votes, defeating his only opponent Riyad Farid Hijab by 13 votes.

Thomas E. O'Donnell (judge): Thomas E. (Tom) O'Donnell is a judge of the Irish Circuit Court since 2011.  Prior to his appointment, he was a judge of the Irish District Court from 1998.

Hickory Hill (Thomson, Georgia): Hickory Hill, also known sometimes as the Thomas E. Watson House, is a historic house museum at 502 Hickory Hill Drive in Thomson, Georgia.  A National Historic Landmark, it was a home of Georgia Populist Party co-founder Thomas E. Watson (1856-1922).

Elliott V. Bell: Elliott V Bell (September 25, 1902 - January 1983) was a former financial writer for The New York Times who managed the two successful gubernatorial campaigns for his friend, Thomas E. Dewey.  Bell was appointed Superintendent of Banks for the State of New York in 1943 by then Governor Thomas E Dewey.  Bell was also editor and publisher of "BusinessWeek".

USS Thomas E. Fraser: USS "Thomas E. Fraser" (DD-736/DM-24) was a "Robert H. Smith"-class destroyer minelayer in the United States Navy.  She was named for Commander Thomas E. Fraser (1901–1942).

Supporting paragraphs: Thomas E. O'Donnell Conscription in the United States
Answer: Conscription in the United States