Is worcestershire is in Birmingham?
No, Worcestershire is a county and Birmingham is a city which
does not belong in any county. The county of Worcestershire is next
to Birmingham, and includes Worcester, Evesham, Droitwich, Redditch
and Kidderminster.
Birmingham is in the county of the West midlands.
Having left Birmingham some 55 years ago for Australia, the city
was in the county of Warwickshire. As the second answer says West
Midlands the powers that be will no doubt have changed a few county
names.