8 3/4 venting oil from the vent. seems odd.

Took the car out for the first time since I disassembled, cleaned and serviced the whole rear axle assembly.
Ran it briefly on the expressway.
Then noticed that a very slight amount of gear oil seeming to have come from the vent.
I pulled the plug and some did come out so I may be over serviced?
What say y'all before I run it again?
Pull the plug and let it drain till finished?
I'm just wondering how one can possibly put THAT MUCH "too" much in from the side hole.

It can happen for sure. I just rebuilt my rear end and filled it with the bottles. I put in about 1 1/2 in and stopped when the level is just below the hole. Not sure if they were quarts or litres.