To add a note on the customer's account you first need to know the customer id of the the customer's account you want to add the notes on. You can get the customer id by calling GetCustomerInfo XML API
1 for Lowest 2 for Low, 3 for Medium, 4 for High 5 for Highest
After you have determined the TYPE and PRIORITY you can have the user type the note text. Upon submit you can call the AddNote XML API