I Re-Recorded a new Macro and this time by clicking
"Yes" to "Save Changes" it added
the File Path when closing in the Recorded Macro Code.
There are now 2 mouse clicks.

'Macro Continued,
Windows("DummyLogSmall.txt").Activate
Application.CutCopyMode = False
Selection.Delete Shift:=xlUp
Range("A1").Select
'-- OK to here.
Application.DisplayAlerts = False                    'added, not recorded.
ActiveWorkbook.SaveAs Filename:= _
"C:\Program Files\Program\Logs\DummyLog.txt", FileFormat:=xlText, _
CreateBackup:=False
Application.DisplayAlerts = False                 'added, not recorded.
ActiveWorkbook.Close SaveChanges:=True   'added, not recorded.
Application.DisplayAlerts = False                  'added, not recorded.
End Sub
If anyone want me to send a copy of Workbook with the macro and copy of log file to test themselves let me know.

Just 2 mouse clicks to eliminate !

Thanks