Yes they have names just like the features and dimensions in a drawing. They are only accessable through an API though. Finding the right one to delete might be tricky though. You could possibly search for one containing a specific text string.
this will search your template for a note with a specific name and returns its text to a supplied string variable
you will have to edit it to search for specific text and traverse a compound note.
Function getNoteObject(Name As String, ByRef NoteValue As String) As _ SldWorks.note
Dim swNote As SldWorks.note Dim swView As SldWorks.View Set swApp = Application.SldWorks Set Part = swApp.ActiveDoc Set swSheet = Part.GetCurrentSheet() Part.EditTemplate Set swView = Part.GetFirstView Set swNote = swView.GetFirstNote While Not swNote Is Nothing If swNote.GetName = Name Then NoteValue = swNote.GetText Set getNoteObject = swNote Exit Function End If Set swNote = swNote.GetNext Wend Part.EditSheet Part.EditSketch 'Part.ClearSelection Part.EditSketch boolstatus = Part.Extension.SelectByID("Sheet1", "SHEET", _
0.1437811854572, 0.04867757019569, 0, False, 0, Nothing) boolstatus = Part.Extension.SelectByID("Sheet1", "SHEET", _
0.08464306802756, 0.04139040880625, 0, False, 0, Nothing)
End Function
this is the example that sw help had for traversing a compound note there is more to it so look it up
Compound Note Example (VB)
If (note.IsCompoundNote()) Then
' If object is compound note
count = note.GetTextCount()
' Determine # of text entities
n2 = note.GetTextAtIndex (2)
' Get the 2nd piece of text
n1 = note.GetTextAtIndex (1)
' Get the 1st piece of text
ht2 = note.GetHeightAtIndex (2)
' Get height of 2nd piece of text
End if