More Information:

About Charles Allen Bedell:

Found in 1850 Census, SC, Richland Co., Columbia, img. 17.
Charles A., 33; wife Anna M., 23; Augusta, 4; Charles A., 2.
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Found in 1860 Census, SC, Richland Co., Columbia, img. 58.
Charles A., 41; wife Sallie, 25; Augusta, 11; Charles A., Jr., 10.
I assume that this is a different wife from the 1850 Census, which had "Anna M.". The ages do not track well from those given in 1850.
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Charles A. Bedell served with the Confederate Army during the Civil War.
Found in Civil War Records (http://www.itd.nps.gov/cwss/soldiers.htm):

Charles A. Bedell Company A, 15th South Carolina Infantry; private
and also:
Allen Bedell Company A, 15th South Carolina Infantry; private
These two entries could refer to the same person, or Allen may refer to Charles' s son, or another Bedell who is unknown to me.
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The 15th S. C. Infantry Regiment was formed near Columbia, SC in Sept., 1861 with soldiers from Richland, Union, Lexington, Kershaw, Fairfield, and Williamsburg counties.
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From 1859 Columbia, SC City Directory:

Bedell, Charles A. ~ dry goods 165 Richardson, corner of Plain ~ House Blanding between Sumter and Marion.

This house location is the same as that listed for A. Bedell, who I believe is his mother Nancy Allen Bedell.
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From Ancestry.com:

Charles H. Bedell, a native of New York (State) but for more than thirty years a resident of Columbia, So. Ca., died in that City, Aug. 27, 1868. Mr. Bedell was an active and industrious man.... the Black Republican part of the North, East and West, had with him, as with thousands more, been a source of almost utter ruin.... He had succeeded, having erected a spacious store and dwelling, on the ruins of the former site....

Source Information:
Holcomb, Brent Howard. Record of Deaths in Columbia and other places as recorded by John Glass, 1859-1877. Columbia, S.C.: SCMAR, 1986.

This is probably the right person, not absolutely proven. Charles was listed as a Merchant in the 1850 and 1860 Census.
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About Anna M. Smith:

Found in 1850 Census, age 23, living with husband Charles and two children.

About Charles Allen Bedell Jr.:

From Ancestry.com:

Record of Deaths in Columbia South Carolina
page 149

Charles Allen Bedell, eldest son of C. A. Bedell Esq. (deceased), died in Columbia So. Ca. April 7th 1873. Appended is a notice of his deceased from the Columbia "Phoenix" [clipping] "Death of a Young Columbian. Mr. Charles Allen Bedell, eldest son of our late fellow citizen, C. A. Bedell, Esq., died, yesterday, about 6 1/2 o'clock A. M. He was afflicted with Bright's disease of the kidneys.... He was a native of Columbia, and had [p.149] always resided here. His age was twenty-four - the 6th of April being his birth-day.... The funeral ceremonies will be performed at the Presbyterian Church, this morning, at 9 o'clock.

Source Information:
Holcomb, Brent Howard. Record of Deaths in Columbia and other places as recorded by John Glass, 1859-1877. Columbia, S.C.: SCMAR, 1986.
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