Since you know when Benjamin died, you (or a direct descendant of Benjamin) should order his death certificate from the state of Louisiana.This should tell you his birthdate and the names of his parents.See http://www.vitalrec.com/la.htmlhttp://www.vitalrec.com/la.html for more information on how to order that death certificate.
It's difficult for volunteers to help you find information because we don't know where to look.Without more information (even if it is fairly general), we don't know whether Benjamin was 25 when he died, or 105.So we don't know always know where to start looking!
Since you did list his death year, I searched the Social Security Death Index (which is available for free online -- you can search for it).I found this entry:
Last Residence:71061Oil City, Caddo, Louisiana, United States of America
Born:2 Apr 1889Died:Apr 1973
State (Year) SSN issued:Louisiana (Before 1951)
You can order his Social Security Application from the Social Security Administration.He filled it out himself, and it should list the names of his parents.
That gives you his birthdate and a more detailed death date.The birthdate helps to know when we can find him on the census.I found him in 1930, the last publicly available census:
1930 United States Federal Census > Texas > Cass > Precinct 7 > District 26 > Page 12A
Dwelling 221/ Family 227
Farm (Rents), owns a radio
Benjamin C Poindexter, head, male, white, 39, married for the first time at age 23, reads, writes, he and father b Arkansas, mother b TN, farmer
Elijah, son, white, 10, attends school, reads, writes, b Oklahoma, father b Arkansas, mother b KY
Rachel, wife, white, 29, married for the first time at age 14, reads, writes, b Ky, father b VA, mother b KY
John A, son, white, 8, attends school, reads, writes, b OK
Robert D, son, white, 4, b Ok
Jimior, son, white, less than 1 year old, b TX
Bella, niece, white, 5, b LA, father b OK, mother b OK
Lois V, niece, white, age unreadable, b LA, father b OK, mother b OK
Since the 10-year-old son was born in OK, it is likely that the family was living in OK in the 1920 census.I don't see him in the 1920 census at all, but his name might be misspelled so as not to appear in my search.
I believe this is a possibility for you for the 1910 census for Benjamin, as the age and name fits.
1910 United States Federal Census > Oklahoma > Sequoyah > Marble Twp > District 202 > Page 14A
Dwelling 85/Family 87
Elijah Willoby, head, white, 89, married (second marriage) for 32 tears, b TN, father b US, mother b TN
Margaret, wife, white, 75, married (second marriage) for 32 years, bore 10 children, 3 surviving, b KY, parents b KY
Bettie Willoby, head, white, 28, widowed, bore 5 children, all surviving, b Ark, father b TN, mother b KY
Emma, daughter, white, 11, b OK, parents b Ark
Eliza, daughter, white, 8, b OK
Mamie, daughter, white, 6, b OK
Powell, son, white, 2, b OK
Ben C Poindexter, half brother, white, 19, b Ark, father b Missouri, mother b Ark, farm laborer
This is the same family in 1900 -- again, I'm not 100% positive that this is your Benjamin:
1900 United States Federal Census > Indian Territory > Cherokee Nation > Township 13 > District 43 > Page 4B
Dwelling 76/Family 76
Elijah Williby, head, white, b Aug 1822, 77, married for 34 years, b TN, father b VA, mother b TN, farmer
Margaret, wife, white, b Jan 1836, 64, married for 34 years, bore 10 children, 5 surviving, b KY, father b TN, mother b Ky
Luetta, daughter, b Jun 1878, 21, widowed, b Ark
Benjamin Poindexter, grandson, white, b Jun 1889, 10, b Arkansas, father b TN, mother b KY, farm laborer
Elijah Williby, grandson, white, b Jan 1891, 9, b Ark, father b Missouri
Christopher, grandson, white, b Jan 1897, 3, b Ark
Emily, granddaughter, white, b Mar 1899, 1, b Indian Territory
Once you've verified that this could be the Benjamin you are looking for, you can then search the 1880 census yourself for free at www.ancestry.com.