how to determine the name of the toolbar button that was clicked

to determine the name of the button, try this:
With objButton
    .Name = .ActiveControl.Name
    .Caption = Caption
    .OnAction = macroName
    .TooltipText = toolTip
    .FaceID = FaceID
    .Style = msoButtonIconAndCaption
    .BeginGroup = True
  End With

What version?

Assuming its 2007 or later then you could use the caption ... the name itself isn't exposed as easily ... if at all.

Application.ActiveExplorer.CommandBars.ActionControl.Caption

End Sub

Sub callmacro()

    'if Application.ActiveExplorer.CommandBars.ActionControl.Caption = some name then
    'do something here
    'end if

End Sub

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It is also possible that you need more than one caption to be the same ... for example againt multiple menus.  If so then of course the caption may not itemise the button but in this case you can add a parameter to the button press:

The modified code below tests the parameter rather than simply returning the caption.  Th eparameter is a new optional.

Chris

Function AddToolbarButton(Caption As String, _
                       toolTip As String, macroName As String, _
                       Optional toolbarName As String = "Standard", _
                       Optional FaceID As Long = 325, _
                       Optional param As Variant)
Dim objBar As Office.CommandBar
Dim objButton As Office.CommandBarButton

  Set objBar = ActiveExplorer.CommandBars(toolbarName)
  Set objButton = objBar.Controls.Add(msoControlButton)

'objBar.ButtonClick


  With objButton
    .Caption = Caption
    .OnAction = macroName
    .TooltipText = toolTip
    .FaceID = FaceID
    .Style = msoButtonIconAndCaption
    .Parameter = param
    .BeginGroup = True
  End With
End Function


Sub maketoolbarbutton()
     
    Call AddToolbarButton("My button", "Click here", "callmacro", , , "Fred Button")
    Call AddToolbarButton("My button 2", "Click here", "callmacro", , , "Doris Button")
    Call AddToolbarButton("My button", "Click here", "callmacro", , , "Fred's Spare Button")
    

End Sub


'[b] 'here is I want callmacro to determine which button was clicked [/b]

Sub callmacro()

    If Application.ActiveExplorer.CommandBars.ActionControl.Parameter = "Fred Button" Then
        MsgBox "Frederick"
    ElseIf Application.ActiveExplorer.CommandBars.ActionControl.Parameter = "Doris Button" Then
        MsgBox "Dorothy"
    ElseIf Application.ActiveExplorer.CommandBars.ActionControl.Parameter = "Fred's Spare Button" Then
        MsgBox "Freddie"
    End If

End Sub

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Great help