In the act right now there is no first, second, or third vice-chair; it's just vice-chair. Within the Standing Orders, yes, there is a first and second vice-chair that gets elected, but within the Parliament of Canada Act it's not differentiated. However, titles do exist in this place that are not under the act.
The Board of Internal Economy and its bylaws create different positions as well. Therefore, not every position is within the act.