No, barony is the rank and estates of a baron.
Barony of Caux was created in 2001.
Barony of Sax was created in 1168.
Barony of Sax ended in 1633.
A barony is within a county or duchy. I suppose it would be possible for a barony not to be so, but I have never heard of it.
Barony of Sax-Misox ended in 1799.
Burgh Windmill was created in 1842.
Edward Burgh was born in 1461.
Burgh House was created in 1704.
Albert Burgh was born in 1593.
Albert Burgh died in 1647.
Burgh Heath's population is 6,219.