Translation:She is a member of my house.
Yes. But in colloquial English you wouldn't say She is my member of a house, so it comes out He/she is a member of my house.
When Okrand introduced the word he included an example, tuqnIghwI' member of my house.
You can think of the word tuqnIgh as meaning house-member. Therefore, tuqnIghwI' ghaH He/she is my house-member.