A person who sells wigs is typically referred to as a wig retailer or wig seller. In some cases, they may also be called a wig stylist if they provide styling services along with selling the wigs. Additionally, those who specialize in custom wigs or hairpieces might be known as wig makers or hairpiece designers.
wig designer
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The person who sells drink is known as sellsmen
An author is a person who writes and sells books.
baker
A bookie. Droll. You could call that person a bookseller or shopkeeper.
You call a person who sells flowers a (Florist)
A person who sells ship supplies is called a chandler
A person who sells jewels is called a jeweler.
fishmonger
A chandler.
A haberdasher.