Linking columns on different sheets

I’m very new to VBA coding (only dabbling for this specific project), so I would really appreciate any advice on an issue I’m having. I’m attempting to independently link multiple column ranges on Sheet1 (e.g., A2:A300, B2:B300) to various different column ranges on Sheet2, Sheet3, etc. This way, changing any of the individual cells in these ranges will change the cells in the corresponding sheet and vice versa. ]I’m not doing anything fancy with the data being linked – it just needs to auto-update. I currently only managed to successfully link one set of column ranges. This is what I have on Sheet1:

Private Sub Worksheet_Change(ByVal Target As Range)
  On Error GoTo eh
  If Not Intersect(Target, Me.Range("B2:B300")) Is Nothing Then
    Application.EnableEvents = False
    Sheets("Sheet2").Range("C" & Target.Row).Value = Target.Value
eh:
    Application.EnableEvents = True
    If Err <> 0 Then MsgBox Err & " " & Err.Description, , "Error in Worksheet_Change event, Sheet1"
  End If
End Sub

And this is what I have for Sheet2:

Private Sub Worksheet_Change(ByVal Target As Range)
  On Error GoTo eh
  If Not Intersect(Target, Me.Range("C2:C300")) Is Nothing Then
    Application.EnableEvents = False
    Sheets("Sheet1").Range("B" & Target.Row).Value = Target.Value
eh:
    Application.EnableEvents = True
    If Err <> 0 Then MsgBox Err & " " & Err.Description, , "Error in Worksheet_Change event, Sheet2"
  End If
End Sub

So my question is how do I expand on this? How do I link Sheet3, Sheet4, etc. to different columns of Sheet1 or get multiple columns from Sheet1 linked on Sheet2. Is it possible to modify the existing command in Sheet1 to refer to these additional sheets or would it need a separate command? Thank you so much!