The person watching Harry and Hermione was Bathilda Bagshot.
Hermione was the first to notice that someone was observing them, and she immediately alerted Harry to stop. This individual, Bathilda Bagshot, subsequently beckoned both Harry and Hermione into her house.
Key Details of the Encounter
- Observer's Identity: Bathilda Bagshot.
- Discovery: Hermione was the one who first spotted Bathilda watching them.
- Immediate Action: Hermione prompted Harry to halt when she realized they were being observed.
- Next Step: Bathilda Bagshot then invited Harry and Hermione to come into her house.
This moment was a significant point in their journey, as Bathilda's presence directly influenced their next actions and location.