Still better:
Code:
' ByRef instead of ByVal: no new string created
' lngPos: Long instead of Byte, Long is faster
Private Function CountMembersContentChar(ByRef strChar As String, ByVal lngPos As Long) As Long
    Dim idx As Long
    Dim iCnt As Long
    Dim iChr As Integer
    ' cache the character code value
    iChr = AscW(strChar)
    ' Milk forgot to account for Base 1 with Mid$ -> MidB$ change
    lngPos = (lngPos - 1) * 2 + 1
    For idx = 0 To UBound(Members)
        If lngPos <= LenB(Members(idx)) Then
            ' numeric comparison is way faster (compiled!)
            If AscW(MidB$(Members(idx), lngPos, 2)) = iChr Then
                iCnt = iCnt + 1
            End If
        End If
    Next
    CountMembersContentChar = iCnt
End Function