Also in Company G along with Albert the Cook, was William Henry Allen, brother of Albert Allen, as previously noted.

It is quite possible that William was a slave holder and Albert came along with him.

I've tried the 1860 Slave schedules but do not find this William in Brown Township, Columbia County, Arkansas.

It's a long shot, but a possible lead.

......

Major Hezekiah Allen* note Major is not a rank but a name, was born about 1843, in Georgia. At the age of ten, his father,Hezekiah Allen moved his family to Coosa County, Alabama. Hezekiah had three sons, Major, Albert, and William H. Allen. Upon moving to Arkansas, Albert Allen and William Henry “Dick” were mustered into the Confederate Army where they served in Col A Grinsteads infantry. This later became Co C 33rd Arkansas Infantry.
http://www.argenweb.net/lafayette/Aunt%20Ludie%20Articles.htm

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William Henry “Dick” Allen
In January 1853, Dick Allen married Eliza Jane Gillespie. They left Alabama with one mule and their son, Albert Hezekiah, coming by boat as far as the Alabama Landing on the Ouachita River in northeastern Louisiana. Carrying everything they had, they walked across northern Louisiana and southern Arkansas and settled in the Ebenezer community in Columbia County.

http://www.encyclopediaofarkansas.net/encyclopedia/entry-detail.aspx?entryID=8349

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William H. Allen
Enlisted on 7/1/1862 as a Private.
On 7/1/1862 he mustered into "G" Co. AR 33rd Infantry
(date and method of discharge not given)
(Estimated date of enlistment)

Sources used by Historical Data Systems, Inc.:
- Index to Compiled Confederate Military Service Records

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William H. Allen, age 31, Private, Company G, 33rd Arkansas Infantry, enlisted June 19, 1862 in Columbia County by Capt. Mitchell for 3 years, last recorded present at the Jan/Feb, 1864 muster, no other records

Note, there are no subsequent muster rolls for Company G in the records which leaves us no information on his subsequent service

M317: Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Arkansas

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William Allen in the 1860 United States Federal Census

Name: William Allen

Age in 1860: 27
Birth Year: abt 1833
Birthplace: Georgia
Home in 1860: Brown, Columbia, Arkansas
Gender: Male
Post Office: Atlanta:
Value of real estate: $900
Value of Personal estate: $200
Household Members:
Name Age
William Allen 27 Farmer
Eliza Allen 26 born in Georgia
Albert Allen 4 born in Alabama
Samuel Allen 1 -do-
William Myers 30 Laborer born in Georgia

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Also in the next household

Albert Allen, age 30, Farmer, $1,300/500 born in Georgia
Harriett, age 26, born in Alabama
William , age 8, -do-
Martha, age 6, -do-
Infant, age 1, born in Arkansas