Yo, character is looking great! Current year in the Ersetu calendar is 1804. Being a petty officer and quartermaster, she is now a more senior enlisted person, which is something it looks like she attained quickly by her service record, so she would have proved herself to be a very good sailor to raise up to not only Petty officer, but a quartermanser's rate so fast. So she would be Mathematics and Navigation as well, since part of her duties will be backing up the Master in navigating the ship. She would still be pretty young. I note you have her enlisting in 1801 as an Able Seaman, she would have been rated either a Landsman or Seaman, depending on skill she showed upon her enlistment, then promoted to Able Seaman and on from there.