Green’s Dictionary of Slang

thatch n.

1. [17C+] (also thatching, top thatch) the human hair.

2. [mid-19C+] a woman’s pubic hair.

3. [mid-19C] a wig.

In compounds

thatch-teaser (n.)

[1900s] (Aus.) a hairdresser.

In phrases

get one’s thatch off (v.)

[1900s] (Aus.) to lose one’s temper.