Smug vs Bigheaded - What's the difference?

As adjectives the difference between smug and bigheaded

is that smug is irritatingly pleased with oneself; self-satisfied while bigheaded is .

is (obsolete|transitive) to make smug, or spruce.

(smugger)

Irritatingly pleased with oneself; self-satisfied.

Kate looked extremely smug this morning.

(obsolete) Studiously neat or nice, especially in dress; spruce; affectedly precise; smooth and prim.

* Robynson (More's Utopia)

They be so smug and smooth.

* De Quincey

the smug and scanty draperies of his style

* Beaumont and Fletcher

A young, smug , handsome holiness has no fellow.

* self-satisfied * complacent

* smugly * smugness

(smugg)

(obsolete) To make smug, or spruce.

* Dryton

Thus said, he smugged his beard, and stroked up fair.

(Webster 1913)

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(en adjective)