What do the princess and duke do when they wake up together?(from Stories Sixty-six through Seventy)

From the text:

The Duke of Vendôme and the Princess hid their faces against each other in order to have the talk last longer, and they laughed so heartily that they were not able to utter a word. Finding that for all her threats they were not willing to rise, the serving-woman came closer in order to pull them by the arms. Then she at once perceived both from their faces and from their dress that they were not those whom she sought, and, recognising them, she flung herself upon her knees, begging them to pardon her error in thus robbing them of their rest.