I would suggest getting in the attic and looking at the other areas of the ceiling. If it has it I'd put it in.
I just got through remodelling my bathroom/utility rooms and there wasn't any vapor barrier there so I didn't put vapor barrier in when I replace the sheetrock.
note: I'm in Oklahoma and the rules may be different where you live.
I live in Ohio & have helped build several houses over the years including mine & have never seen a vapor barrier used in a ceiling. I just finished my own detached workshop & you guessed it no vapor barrier. Not sure why though.
In general, yes you should apply a vapor barrier to the inside face of the insulation. The purpose of the barrier is to retard vapor transmission through the wall or ceiling assembly and therefore minimize the condensation of the vapor into liquid which destroys the R value of the insulation.
When I was younger and building homes for a summer job, we always put in vapour barrier on all wals and ceiling. Even homes I've seen built or remodelled today put in the VB.
as has been said, ya need to check around where you live, its diff in diff areas. i did it for a customer once here in Missouri and it made the house swet, had to go back, pull the insulation back and cut it, after a week it dryed up.