There are three actors in a basic inheritance process: the current possessor of the asset, e.g. Alice; the future possessor, e.g. Bob; and the asset itself, e.g. a house.
We can say the Bob a heir of Alice (or inheritor). We can say that Bob inherited a house from Alice.
What is the correct way to describe Bob as the one who inherits a house? The sentence "Bob is a heir of the house", in my opinion, implies that Bob will inherit something from the house, and not the house itself, isn't it?
Originally I wanted to address my future colleague who would maintain the project after me, like "The heir of this project should ..." (kinda vulgarly poetic tone is intentional).