mutually link checkboxes

I should have looked at the attachment. This looks like a good advertisement for Marlet check boxes.

In the attached, I removed all the checkboxes (and all the formatting that hid the cell contents).
On any sheet in the workbook, double click a cell in column A to select that player. The cell(s) on the other sheets for that player will be similarly affected. One can add new players without modifying the code, the only requirement is that the player's name be in column C of each of the sheets and that they be unique.

This is all driven by this code in the ThisWorkbook code module.

Private Sub Workbook_SheetBeforeDoubleClick(ByVal Sh As Object, ByVal Target As Range, Cancel As Boolean)
    Dim newVal As String
    Dim PlayerName As String
    Dim oneSheet As Worksheet
    With Target
        If .Column = 1 Then
            Cancel = True
            newVal = IIf(.Text = "X", vbNullString, "X")
            PlayerName = .EntireRow.Range("C1")
            On Error Resume Next
            For Each oneSheet In Me.Worksheets
                oneSheet.Cells.Find(what:=PlayerName).EntireRow.Range("A1").Value = newVal
            Next oneSheet
            On Error GoTo 0
        End If
    End With
End Sub