Despite her subsequent efforts to worm her way out of the deal, her father continues to reinforce the need to make good on her word when she had to let the frog in, raise the frog to her table, and bring the frog to her bed chamber. The importance of maintenance of the value of ones word may have class implications, as a noble with his own court would be more inclined to ensure that those around him, his family in particular, have proper courtly manners of which maintaining ones word would be part of.
The Kings pressuring of his daughter also portrays the family relationship between father and daughter. Whenever the King insists on his daughter keeping her promise to the frog, whether it be allowing him in to the castle at dinner, helping the frog up to her plate, or bringing the frog to bed, his daughter never challenges him as one could expect to happen today. The authority of the parent, the patriarch, and the subordinate status of the child are firmly in place and she is bound to listen to her father. When the princess refuses to allow the frog to sleep in her bed and instead tells him to stay in the corner and he tries to convince her to let him up, he does so by threatening to tell her father of her misdeeds. Still there is some evidence of an independent streak in her as whenever her father isnt around she has a strong display of self-expression such as when she chucks the frog across her room and shouts that he, a horrid frog, should be quiet.
Also part of the chivalrous culture, perhaps there is evidence of courtship in the story. Throughout the text, despite the princess continuing to be cruel and uncooperative with the frog, she obeys her father (who in a situation involving an arrangement of marriage would be a primary negotiator) and opens the door to the frog. The frogs insistence that the princess carry him to her room so that they could both lie down and sleep could be interpreted as a romantic pass.