A literal translation would be :
“Domain which makes owner much money.”
Wikipedia says:
Geisha:
The geisha tradition takes many of its mannerisms from Kabuki. Male geisha, both past and present, tended to take on the sexual humor of Kabuki, carefully balancing their appeal as to not intimidate their male customers. Male geisha (taikomochi) were usually ugly, previously wealthy men who spent so much money on geisha that they had to turn professional. Popular geisha and Kabuki actors have generally been mutually supportive. The early predecesors of geisha were the female Kabuki actors. Geisha tradition is also connected with Noh, primarily in the Kyoto geisha’s dance styles.
Male geisha (sometimes known as hōkan, more commonly known as taikomochi) gradually began to decline, and by 1800 female geisha (originally known as onna geisha, literally “woman geisha”) outnumbered them by three to one, and the term “geisha” came to be understood as referring to skilled female entertainers, as it does today.
As a profession, they are entertainers and conversationalists, much like professional ballet dancers, classical musicians, or party MCs. They do give public concerts, but the majority of their business is in private engagements. Depending on what hanamachi they work in, their “gei” specialty differs. There are geisha who dance, geisha who play shamisen, and geisha who do both. Their clientele are most often businessmen, those with an appreciation for the classical arts and with money enough to pay for the expensive fees.