Even though it seems as though you made contact with some members of this family some time ago and I have no PERSONAL KNOWLEDGE of the family you seek, I am a ROPER researcher and thought you might benefit from receiving a bit of additional genealogical information using traditional research techniques.
In 1900, there is a Paul ROPER, age 6, born Arkansas, enumerated within the household of James M. ROPER, age 45, born Alabama, and Fannie E. ROPER, age 31, born Mississippi, residing in Beech & Days Creek Townships Boggy town, Miller, Arkansas. This Paul ROPER is shown to have been born in September 1894. Other members of James M. ROPER's household in 1900 are Benjamin ROPER, age 13 (b Dec 1887 - AR), Clark ROPER, age 11 (b Dec 1889 - AR), Raymond ROPER, age 8 (b Jul 1892 - AR), and daughter Jimmie ROPER, age 4 (b Sep 1896 - AR).
See: "United States Census, 1900," index and images, FamilySearch (
https://familysearch.org/pal:/MM9.1.1/M36L-BLT : accessed 28 Mar 2014), Jimmie Roper in household of James M Roper, Beech & Days Creek Townships Boggy town, Miller, Arkansas, United States; citing sheet 8B, family 172, NARA microfilm publication T623, FHL microfilm 1240068.
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There is a Paul P. ROPER, age 16, born in Arkansas enumerated within the household of his parents James M. ROPER, age 54, born in Alabama, and Bettie E. ROPER, age 38, born in Mississippi. Other members of this household are shown to be Raymond L. ROPER, Paul's brother, age 18, born Arkansas, Arlie P. ROPER, age 3, born in Arkansas, Paul's sister and Tressie F. GRANBERRY, age 17, born in Texas, shown to be James ROPER's sister-in-law.
James M. ROPER is shown to be born to a father born in Georgia and a mother born in Alabama. Bettie ROPER's parents are also shown to be born in Georgia and Alabama.
See: "United States Census, 1910," index and images, FamilySearch (
https://familysearch.org/pal:/MM9.1.1/MPYM-78Q : accessed 28 Mar 2014), Paul P Roper in household of James M Roper, Police Jury Ward 1, Grant, Louisiana, United States; citing enumeration district (ED) 59, sheet 4B, family 81, NARA microfilm publication T624, FHL microfilm 1374528.
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In 1920, Paul P. ROPER is enumerated again residing with his parents and siblings in Texarkana, Miller, Arkansas. Paul is shown to be age 24, born in Arkansas in this record. James M. ROPER is shown to be age 64, born Alabama. Bettie ROPER is shown to be age 49, born in Mississippi. The other members of James and Bettie ROPER's household in 1920 are shown to be:
C. Bennie ROPER, Male, age 30, Son, Born Arkansas
Arlie P. ROPER, Female, age 13, Daughter, Born Arkansas
Paul P. ROPER, Male, age 24, Son, Born Arkansas
Callie ROPER, Female, Female, age 25, Daughter-in-law, Born Louisiana
Lurline ROPER, Female, age 10, Granddaughter, Born Louisiana
J. Buck ROPER, Male, age 5, Grandson, Born Louisiana
James C. ROPER, Male, age 30, Son, Born Arkansas
Ollie C. ROPER, Female, age 27, Daughter-in-law, Born Louisiana
Eva P. ROPER, Female, age 7, Granddaughter, Born Oklahoma
See: "United States Census, 1920," index and images, FamilySearch (
https://familysearch.org/pal:/MM9.1.1/MDXR-8NL : accessed 28 Mar 2014), Paul P Roper in household of James M Roper, Texarkana, Miller, Arkansas, United States; citing sheet 8A, family 188, NARA microfilm publication T625, FHL microfilm 1820072.
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In 1930, James M. and Bettie E. ROPER are still shown to be residing in Texarkana, Miller, Arkansas, with sons Charles B. and James C. ROPER. Daughter-in-law Callie B. RPOER is also there with grandson J. Buck ROPER. Daughter-in-law Clyde O. ROPER, granddaughter E. Pauline ROPER are also residing in their household along with twelve boarders. However Paul P. ROPER is no longer in the household.
See: "United States Census, 1930," index and images, FamilySearch (
https://familysearch.org/pal:/MM9.1.1/XMLG-5M4 : accessed 28 Mar 2014), James M Roper, Texarkana, Miller, Arkansas, United States; citing enumeration district (ED) 0009, sheet 3A, family 67, NARA microfilm publication T626, roll 84.
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James M. ROPER is shown to have married Fannie E. MILLER on 23 Dec 1883 in Miller County, Arkansas.
See: "Arkansas Marriages, 1837-1944," index, FamilySearch (
https://familysearch.org/pal:/MM9.1.1/FQRR-HZD : accessed 28 Mar 2014), James M. Roper and Fannie E. Miller, 23 Dec 1883; citing Miller, Arkansas; FHL microfilm 1005448.
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Paul P. ROPER is shown to have married a Gladys E. NORWOOD on 05 Sep 1920 in Miller County, Arkansas.
See: "Arkansas Marriages, 1837-1944," index, FamilySearch (
https://familysearch.org/pal:/MM9.1.1/FQRP-ZJW : accessed 28 Mar 2014), Paul P. Roper and Gladys E. Norwood, 05 Sep 1920; citing Miller, Arkansas; FHL microfilm 1005459.
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Paul Perette ROPER's Texas death certificate shows his date of birth to be 02 Sep 1894 and his date of death at age 72 to be 22 Sep 1966. Paul P. ROPER's parents are shown to be James Merion ROPER and Frances Elizabeth MILLER. Paul is shown to have been born in Texarkana, Texas. Paul is shown to have died in Temple, Bell County, Texas. Paul is shown to be married at the date of his death and was a veteran of World War I. The informant for the death certificate was his wife, Mrs. Evelyn ROPER.
Paul ROPER is shown to be interred at the Hillcrest Cemetery in Temple, Texas.
The death certificate is online for FREE viewing for those who register to use the Family Search website.
See: "Texas, Deaths, 1890-1976," index and images, FamilySearch (
https://familysearch.org/pal:/MM9.3.1/TH-1942-25241-59693-36... : accessed 28 Mar 2014), Death certificates > 1966 > Vol 113-120, certificates 056300-059700, Sep, Bell-Harris counties > image 59 of 3568; citing State Registrar Office, Austin.