I never heard that definition of the term "oriented." It's not in my Webster's dictionary software nor in the top 50 Google links for "oriented." Are you sure it was in use in Florida in 1996?
Any relation to orient may be actually entirely occidental.
It has a specific medical meaning, different from the general meaning, as do many other words. From Stedman's Medical dictionary, 1976
The recognition of one's temporal, spatial, and personal relationships and environment.It's been in use since long before I was a medical student, and remains in common use today. It is a part of the Glasgow coma score, and is standard for evaluation of those with brain injury of any sort. More technically one would say "oriented x 3" but in common use, "oriented" serves as shorthand. Also, technically orientation is not to the patient's name, which is considered the easiest thing to remember, but to the name of someone the patient knows. However today most medical people accept the patient's name.
So for a medical person to say someone is "alert and oriented" means they are claiming a very high degree of cognitive function.
I never heard that definition of the term "oriented."
I was taught in school that to document a patient as "oriented" meant they could correctly identify themselves with regard to person, place, and time. Try looking up "mental status exam"; "oriented" in this sense is (and has been for quite some time) what is meant when used in medical documentation, I believe. Perhaps retMD will correct me if I've got it wrong.