To solve this problem, let's carefully arrange the people around the circular table based on the given conditions. We'll assume the table is such that we're numbering positions clockwise.

1. Step 1: H sits second to the right of G. This means the order is G, then a person (let's call them X), then H.
2. Step 2: Only three people sit between H and B. Since we're placing people clockwise, if we place H in a position, B will be fourth to the right of H. So, the order goes: H, one person (Y), another (Z), another (AA), then B.
3. Step 3: C sits second to the right of B, which means B will have a person (AB) before C in the arrangement.
4. Step 4: Both the immediate neighbours of B face a direction opposite to that of B. If B faces inward, then its immediate neighbors face outward, and vice versa.
5. Step 5: E sits immediately to the left of G. As we're going clockwise, E is placed directly counterclockwise to G (on its immediate left).
6. Step 6: Only three people sit between E and A. Thus, A is fourth to the right of E.
7. Step 7: D sits second to the right of A. Hence, one person (AC) is between A and D when going clockwise.
8. Step 8: D faces outside, confirming his orientation, and ensuring neighboring orientation adjustments follow these constraints.
9. Step 9: D is not an immediate neighbor of B, confirming the earlier placements do not conflict.
10. Step 10: F faces inside, provides another orientation adjustment for balancing the configuration.

Now, based on this arrangement, we place G first and execute the clues adjusting the remaining persons in a logical sequence:

Hence, when counting from the left of E, the number of people between E and H is Four.