Barony of Sax was created in 1168.
Barony of Sax ended in 1633.
Barony of Sax-Misox ended in 1799.
Barony of Caux was created in 2001.
Urban Sax was created in 1973.
Mona Sax was created in 2001.
Yakety Sax was created in 1963.
Sax Maniac was created in 1982.
Doctor Sax was created in 1959.
Sax-a-Go-Go was created in 1993.
Lisa's Sax was created on 1997-10-19.
No, barony is the rank and estates of a baron.
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.