The records for the 36th Alabama Infantry contain one soldier by the name William Blair. This file contains 19 individual cards. The one and only Company F muster roll found in these records containing his name, is that held June 30, 1862. This file contains two cards for events following Blair Srs. death. I would assume therefore that Jr. enlisted sometime after June, 1862 and have split the information found for Sr. & Jr. as follows:

William Blair, Private, Company F, 36th Regiment Alabama Infantry, enlisted April 10, 1862 at Monroeville for 3 years, recorded present at the June 30, 1862 muster, captured at Missionary Ridge November 23, 1863, sent to Louisville, Ky. December 7 from where he was transferred next day to Rock Island, Ill. prison, died of pneumonia February 4, 1864, buried: Rock Island Prison Cemetery, gravesite: 364

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William Blair Jr., Private, Company F, 36th Regiment Alabama Infantry, receipted for an issue of clothing April 1864, paroled at Meridian, Miss. May 10, 1865, resident of Butler Co., Ala.

Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Alabama

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The following records I’ve found at Ancestry.com

Alabama, Civil War Soldiers, 1860-1865

Name: William Blair
Enlistment Date: 10 Apr
Enlistment Place: Alabama, USA
Death Date: 4 Feb 1864
Death Place: Illinois, USA
Military Branch: Infantry
Regiment or Unit: 36th Alabama
Company Unit: F
Enlistment Info: Alabama, Monroe, Monroeville, Private,
Military Engagement Info: Captured at Missionary Ridge, Tennessee November 25, 1863
Death Info: Illinois, Rock Island, Pneumonia
Author: Letter of The Adjutant General's Office April 4, 1914

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Alabama, Civil War Soldiers, 1860-1865

Name: William H Blair
Birth Date: 1846
Birth Place: USA, Alabama, Pike County
Enlistment Date: 1862
Enlistment Place: Alabama, USA
Enlistment Age: 16
Regiment or Unit: 36th Alabama
Company Unit: F
Enlistment Info: Alabama, Monroeville, Private
Discharge Info: Mississippi, Meridian
Remarks: Address 1907-08: Appleton, Alabama. Belonged to Colonel Woodruffs Regiment, Stuarts Division, Hood's Corps, Bragg's Army.
Author: Census, Tax Collector, Escambia County, Alabama 1907-08

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U.S., Find A Grave Index, 1600s-Current

Name: Pvt William Blair
Birth Date: 1820
Birth Place: Fairfield County, South Carolina, USA
Death Date: 4 Feb 1864
Death Place: Rock Island, Rock Island County, Illinois, USA
Cemetery: Rock Island Confederate Cemetery
Burial or Cremation Place: Rock Island, Rock Island County, Illinois, USA
Has Bio?: Y
Children: James Jefferson Blair

BLAIR, William Holly (Private, Company "F" 36th Alabama Infantry Regiment) Born: 1817, South Carolina - Died: February 4, 1864, Rock Island, Illinois and buried: Rock Island National Cemetery, Rock Island, Illinois Grave #364. Captured at Missionary Ridge, Tennessee on November 25, 1863, William Holly Blair, Sr. died of pneumonia. Source: Keith Janes
- Scrappy
Added: Mar. 10, 2014

Find A Grave Memorial# 9125234

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Alabama, Civil War Soldiers, 1860-1865

Name: William Blair
Enlistment Place: Alabama, USA
Enlistment Age: 18
Military Branch: Infantry
Regiment or Unit: 36th Alabama Regiment
Company Unit: F
Enlistment Info: Age 18, Alabama, Monroe, Private
Author: Muster in roll dated at Mt. Vernon Arsenal May 13, 1862

Ancestry.com. Alabama, Civil War Soldiers, 1860-1865 [database on-line]. Provo, UT, USA: Ancestry.com Operations, Inc., 2015.