Perhaps I have a little info that may give you some clues to search out. I am sorry if you feel the Chickasaw Nation is refusing to help you, but you must understand that the records are kept by family enrollment numbers,not names, and without knowing that number, they are not able to help, as they have not the time or resources to do genealogical work. There are many Albersons, and they can be found among the Chickasaw, Cherokee, and the Choctaw Nations. Since you mention Capt. Isaac Alberson, I can give you what information I have on him and whatever else I may be able to turn up regarding his descendents. I have source materials that may be beneficial, as well as the Final Dawes Rolls.
Captain Isaac Alberson was a Chickasaw Chief, early mentioned in tribal records in the 1780's. He was also called UHOMAHMAH, and he was chief of one of the four districts in Mississippi between 1815 - 1837.
In 1828 he explored the west ( as a prelude to removal). He signed treaties in 1830, 1832, and 1834.
In 1834 he was appointed to the Chickasaw Commission and he served on this commission until the commission was disbanded in July of 1845.
He was involved in several land transactions prior to removal, selling several tracts of land in Tishomingo County, and in Prentiss County ( 1836)Mississippi.
He moved west in November of 1837 and was elected chief of the Chickasaw District in that year.
In 1839 his household consisted of:
1 male between 10 -20 years of age
1 male over the age of 50 years
1 female between the ages of 10 - 20
1 female over age 50 years
Capt. Isaac Alberson died in the fall of 1850.
He was married at least twice.
His first wife, (her name not recorded) and by this wife he was the father of:
1 LOGAN ALBERSON
2 ISAAC ALBERSON JR.
His second wife was SALLY OXBERRY ( born 1794, died Sept. 1896). She had previously been married to MARTIN COLBERT, who died in the summer of 1840. Sally is listed on the 1857-1860 annuity rolls.I have found no children born to Capt. Alberson and this wife ( Sally).
On the two sons of Capt. Isaac Albersn, I have this information:
1LOGAN ALBERSON, son of Isaac Alberson,was born in 1825 and he attended the Choctaw Academy in Kentucky from 1834 - 1838.
By 1837 he was in Indian Territory for n the census of that year he is shown as having a hosuehold consisting of:
1 male over 18 years
1 female over 16 years
1 female under the age of 16 years.
Logan was married to ISHTIMAHHOYA. In 1878 she was living in Coal County, Indian Territory. I have no date of death for either Logan or his wife.
Theydid have two sons:
1NICHOLAS ALBERSON born 1856. Married to Fannie, he is on census card # 36 of the Chickasaw Dawes Roll:
Roll# 107 Alberson, Nicholas 48 yrs male Full blood
Roll# 108 Alberson, Fannie54 yrs female Full blood
2BENJAMIN F. ALBERSON, born in 1860.Married to Luvina. I assume that the Fannie is either a daughter or possibly a second wife, if so, I have no clue what happend to Louvina.
He is and his family are on census card # 98:
Roll# 290 Alberson, Benjamin F. 44 yrs male Full blood
Roll# 291 Alberson, Fannie 25 yrs female, Full blood
Roll#292 Alberson, Solomon3 yr male full blood
2ISAAC ALBERSON JR., son of Capt. Isaac Alberson, listed as 1/4 white. He sold land in Tishomingo County, Mississippi before removing to the west in 1844. On January 10, 1845 he filed a claim as a self-emigrating Chickasaw. He married LOUISA GAINES.
In 1847 he was listed as a 1/4 white male whose household consisted of:
1 male over the age of 18 years
1 female over the age of 16 years
Isaac Alberson is listed on the 1859 annuity roll
Isaac and his wife Louisa had one child:
1LOUISA ELIZA ALBERSON,born in 1845, died June 25, 1904,married to BENJAMIN CROOKS BURNEY. He died in 1892.
Louisa and Benjamin Burney were the parents of:
1 ADA BELL ALBERSON, born 1873, died 1897.Married AMOS E. COLBERT.
2 SUSAN ALBERSON ALBERSON Married JAMES ROSS
3 BENJAMIN BENETT ALBERSON, born 1881, married MYRTLE GRAHAM.
4PAUL EARNEST ALBERSON born 1885, married MYRTLE EMMA WATERSON.
5ARVILLA ALBERSON , born 1888, married HOWARD M.WILLIAMS and R.E.MC GAUGHEY
Louisa Alberson Burney and family are found on Census Card # 843 of the Chickasaw Nation Final Dawes:
Roll#2478 Burney,Louisa,56 yrs.female Full blood
Roll#2479 Burney, Bennie Benett, 21 yrs male Full blood
Roll#2480 Burney, Paul Earnest, 17 yr. male Full blood
Roll#2481 Burney, Arvilla 14yrs female Full blood
Roll#2482 Colbert, Luella 9 yr female Full was removed fror the roll....probably died before rolls finalized
Roll#283 Colbert, Burney 7 yrs female Full blood
If you can find your direct descendency to one of these names then you should gather what rcords you have and submit an application for enrollment tothe Chickasaw Nation.) You have to be able to prove, via birth, death, etc. records that you are a direct descendent to a person.
If you want/need to investigate further into these Albersons, then you probably will be needing to contact the National Archives in Ft. Worth and request the "entire enrollment jacket" , being sure to supply them with both the census card number and whatever roll numbers may apply.
The census card designates a particular individual family. Records were seet up in this way so that it was easier to locate a particular family branch. This census card number is VERY important to you in your search.
As children (female in particular)married and began their own families,usually they were placed under the census card number of the husband, but this was not written in stone. Also, newborns ( at the time of the Final Roll) were listed under a catagory called"Newborns", although they have the same census card number as their parents. Same goes for minors ( youths).
If I can tyr to help youfurther let me know. But I think I have supplied about all the info that I have in ,my sourece materials as well as the final roll. Hope this helps you out.