from fastapi import APIRouter, HTTPException

people = [
    {"id": 1, "name": "Alice", "age": 55},
    {"id": 2, "name": "Bob", "age": 45},
    {"id": 3, "name": "Charlie", "age": 60},
    {"id": 4, "name": "David", "age": 35},
    {"id": 5, "name": "Eve", "age": 52}
]

router = APIRouter()

@router.get("/people")
async def get_people_over_50():
    """Fetch list of people over 50 years of age"""
    if request.method != "GET":
        raise HTTPException(status_code=405, detail="Method Not Allowed")

    over_50 = [p for p in people if p["age"] > 50]

    return {
        "method": "GET",
        "_verb": "get",
        "data": over_50
    }
```

This endpoint defines a list of `people` with their `id`, `name`, and `age`. The `get_people_over_50` function filters this list to include only those whose `age` is greater than 50. The response includes the filtered list under the `data` key, along with the `method` and `_verb` metadata as required.