Third "person" "The lion runs," "the stone falls freely"?

By JLS

Referring to the verb forms, the Latins were wise enough in avoiding 'personal' pronouns.

Currit. "Runs". Could be 'he', 'she' or -- it.
Curro I run
Curris. You run.

(Also "currimus", "curritis" and "currunt", in the plural.

But it seems that when the Indo-Europeans said, "currit" they were possibly not presupposing 'person' which has an odd history, anyway -- 'pro-sona', allegedly, but I doubt it. But still, grammarians possibly early enough started talking

first PERSON "I run" Curro. That is adequate enough. For a lion won't say, "I run". It has to be a PERSON.

second person, also okay. For you won't talk to a lion.

But third person:

the antelope runs (after the running lion).

"currit".

I want to say that "a stone falls freely", etc., involves then this "third" perspective but I don't want to say that 'falls freely" is a 'third-person' conjugation of 'fall' because a stone is not a person. Never mind the LION not being one, either. And so on.