Try this, at least as a starting point
In Sheet1 code module
Option Explicit
Private Sub Worksheet_SelectionChange(ByVal Target As Range)
If Target.Cells(1, 1).Address = [EEName].Address Then Exit Sub
sOldEEname = [EEName].Value
' Debug.Print Target.Cells(1, 1).Address & "---" & "Old Name = " & sOldEEname
End Sub
Private Sub Worksheet_Change(ByVal Target As Range)
If Target.Cells(1, 1).Address <> [EEName].Address Then Exit Sub
If Target.Cells(1, 1).Value = sOldEEname Then Exit Sub
Application.EnableEvents = False
With Worksheets("Sheet2")
.Cells(.Rows.Count, 1).End(xlUp).Offset(1, 0).Value = Target.Cells(1, 1).Value
End With
Application.EnableEvents = True
End Sub
In standard module
Option Explicit
Public sOldEEname As String