My first thought - looking at your scenario - would be to put a Function call in place of this:
Count(tblAttendance.Name) AS CountOfName
It might look something like this in your query design {this is not working code - just an example}:
Code:
Occurances: Count_Occurances(Forms!SupAttForm!CSROCCTStart As Date, Forms!SupAttForm!CSROCCTEnd As Date, tblAttendance.Name)
In your Function, you would use the three variables to count how many occurances there are.
Are you comfortable writing VBA Code?
If not, I could post a code sample for you to use as a starting point to calculate your occurances.
Let me know how you want to proceed.
P.S. 'Name' is a reserved word in VBA . . . and VB as well. It's better not to create a variable called 'Name'. You could try Emp_Name.