方格网显示了点 A, B, C, D, E, F, G 的位置。

1. Identify the coordinates of points E and A

Point E is at $(2, 6)$.
Point A is at $(5, 2)$.

2. Determine the horizontal and vertical movement from E to A

Horizontal change: $5 - 2 = 3$ units East.
Vertical change: $2 - 6 = -4$ units (4 units South).

3. Determine the compass direction

Since the movement is towards the East and South, the general direction is South-East.

1. Identify the relative positions of points G and C from the other points

We need to find a point $X$ such that the direction from $X$ to $G$ and the direction from $X$ to $C$ differ by a $45^\circ$ clockwise rotation. This means the angle $\angle GXC = 45^\circ$ and $C$ is clockwise from $G$ relative to $X$.

2. Test the given points to find the correct starting point

Let's test point D at $(1,4)$.
Direction from D to G $(4,4)$: G is directly East of D.
Direction from D to C $(3,2)$: C is South-East of D (since it is 2 units East and 2 units South of D).
The angle from East to South-East is $45^\circ$ clockwise.
Therefore, Natalie was at point D.