What source establishes that her correct name is Orlinda?
There is a record of an Orenda Burr b. in Saratoga NY in 1800. Could that be her?
"New York Births and Christenings, 1640-1962," database, FamilySearch (https://familysearch.org/ark:/61903/1:1:V2HH-T1Y : 11 February 2018), Orenda Burr, 07 Sep 1800; citing CONGREGATIONAL CHURCH,GREENFIELD,SARATOGA,NEW YORK, reference ; FHL microfilm 962,875.
I did a search on familysearch.org for persons named Orlinda born in NY between 1790 and 1800 and got 0 results, so I doubt that was her name. I got 5 for Orenda, 70 for Orinda, and 275 for Lorinda.