You can generate a "receipt" by printing an invoice after you have applied the payment. When you do this, the invoice prints with a red "PAID" at the top. It does not give any payment information.
The receipt option is for a non-invoiced cash sale.
Alternately, you could print a statement for the customer after the payment is applied. This will show the payment info that you have put in the Reference field in the payment dialog box.
Hope this helps!