I have three different times of death for Captain Thomas Beale Sr.
First has him dying September, 1818 signed with witnesses on a death certificate one of the witnesses his son Samuel William Beale. Samuel says in 1855 that his father died September, 1818. Samuel says he is 35 years old which would make his father dying two years before he was born. This is impossible so we can not except this as Captain Thomas Beale's date of death.
Second, I have the death of Captain Thomas Beale Sr. as being on or a little before September 8, 1820 as this was in the Louisiana Gazette September 11, 1820 page 2, column 2 and it reports that Captain Thomas Beale Sr.'s burial took place in the Protestant Cemetery on September 8, 1820.
Third, I have a genealogical list of Captain Thomas Beale Sr.'s family, wife and her parents and most of their kin in New Orleans, Jefferson Parish, Louisiana. This record has Captain Thomas Beale Sr. as husband of Celeste Boucher de Grand Pre. Captain Thomas Beale, Sr. died 1826? NO (New Orleans)
With the question mark this one too is not believed although it could be correct. The "6" in 1826 could have been misread by the author and he thought it was a "6" instead of a "0"
Myself I have learned to take documented evidence as proof of burials. So I would have to say that I believe the Louisiana Gazette September 11, 1820 page 2, column 2 as factual and the date that Captain Thomas Beale Sr. was buried in the Protestant Cemetery in Jefferson Parish, New Orleans, Louisiana.