Find the name of the ancient people's (monarch's) house similar to Hanlin House.

You are named after your title and official position. As the name implies, it is a mansion, so you can get the pro-Wangfu of Cheng and Gong. Hanlin Mansion is probably Hanlin Mansion, usually with the owner's surname, such as Lu Hanlin Mansion, and so on ~

There are several famous mansions, such as Jinguyuan, but they are all named after the garden ~

Name a few famous gardens that I hope will help you: Canglang Pavilion, Lion Forest, Humble Administrator's Garden, Lingering Garden, Geyuan, Heyuan Garden, Jichang Garden, Yuyuan Garden, Qinghui Garden and Keyuan Garden.