In the late 1700's it was common practice for men to wear wigs. The bigger the wig, the more expensive they were, thus; the term big wigs refer to those who had a lot of money and power.
as big as a mig in tig
From the 1700's when important people in England wore wigs and the bigger the wig the more important you were
No. Big - Wig Wing - Ping
Periwig or peruke is the term for the horsehair wig.
The term "Hench", comes from the words Big and Bulky
A person who has an important and powerful position. From the 18th century when distinguished men wore big wigs.
it means stalwart