Harper - 1850 Census "find" in Arkansas

Since only initials were given for Harper's first name, it has been hard to find him in the 1850 Census. From the 1860 Census, we know that Harper was a 31 yr old carpenter born in Virginia and his wife, Eliza, born in Indiana about 1829. (The 1860 Census transcription can be found in an earlier post for M.D. Harper.)

The 1860 Census shows Harper's children born in the following places:
Thomas Harper age 12 born about 1848 in Illinois
Elizabeth Harper age 10 born about 1850 in Arkansas
Wm L Harper age 7 born about 1853 in Missouri
Sarah J Harper age 5 born about 1855 in Texas
John C Harper age 3 born about 1857 in Texas
Perlina Harper age 6 months born about 1860 in Texas

We know from the above census that Harper had a daughter, Elizabeth, born sometime in 1850 in Arkansas. The following census entry may be M. D. Harper. The places of birth matches Harper & wife, Eliza, but the ages are off. However, the information for son Thomas matches perfectly.

1850 Census, Franklin County, AR, pg 274, bottom of page

1850 Census, Franklin County, AR, continued top of page 275

1850 Census, Arkansas, Franklin County, Prairie twp, pg 274-275
Harper, Manadier, 23, m, farmer, Virginia
-----, Eliza, 23, f, Indiana, cannot read or write
-----, Thomas, 2, m, Illinois
Harper, Elizabeth, 71, f, Virginia, cannot read or write
-----, Shadrick, 41, m, Virginia, idiotic

**note: Next door to Isaac Harper (38, farmer, Virginia) and wife, Abigill Harper (35, NY) and family.
Source: US Federal Census; Year: 1850; Census Place: Prairie, Franklin, Arkansas; Roll: M432_26; Page: 138

If this is our M. D. Harper, then his name would be Manadier D. Harper. It seems that his mother, Elizabeth, is living with him. His daughter born during the year 1850 was named Elizabeth -- perhaps after his mother??

Any additional input or information on this family would be appreciated!!

Additional posts on the Harper Family:
M. D. Harper Update
M. D. Harper
Eliza Harper - Wash Woman