from fastapi import APIRouter, HTTPException

people = [
    {"name": "Alice", "age": 55, "country": "UK"},
    {"name": "Bob", "age": 45, "country": "ESP"},
    {"name": "Charlie", "age": 60, "country": "Togo"},
    {"name": "David", "age": 35, "country": "UK"},
    {"name": "Eve", "age": 52, "country": "ESP"}
]

router = APIRouter()

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

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

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

This endpoint follows the provided rules and examples:

1. It uses the `@router.get` decorator for the GET method.
2. It validates the request method and raises a 405 error if not GET.
3. It filters the `people` list to include only those over 50 years old.
4. The response includes the required `"method"` and `"_verb"` fields, along with the filtered list of people in the `"data"` field.

Note that the `people` list is initialized with some sample data for demonstration purposes. In a real application, this data would likely come from a database or other external source.