Hello Sue, no, BDM certificates are not free, (I wish they were) electronic printouts have more information on them,

from an electronic printout (photocopy of Birth entry in Register) I found the place name in County Tyrone for my Gt. Grandparents (on my Mother's line,) before this I only had Co. Tyrone, (on marriage and death certs,)

this was for the year 1882

I am going to phone Bob, to see if he has a birth cert. around this time as it should give place name in I.O.M.

and this would confirm your findings from the census,

which look like being "spot on"

and will get Bob, to reply to you when he has the information,

Averil