I cited Territory v. Nugent, a pre-statehood Louisiana case, and the assiduous cite-checkers reported that 1 Mart. (o.s.) 108 (La. Terr. 1810), was wrong; the correct citation is:
1 Mart. (o.s.) 108 (Orleans 1810).
The territory was apparently known at the time as the Territory of Orleans. Cool factoid, though the citation form ends up being confusing as a result; I added a parenthetical noting that this is "a pre-statehood case from what is now Louisiana." See also "Dakota" and "Indian Terr.," as well as "Territory South of the River Ohio (Southwest Territory)," which yielded reported cases but for which the Bluebook doesn't give a separate abbreviation.
UPDATE: As two commenters pointed out, only part of what is now Louisiana — but the part in which this case was decided — was known as the Territory of Orleans.