Vicki had never seen anything like Dexter at table. She was disgusted, and ashamed for him. He gripped the spoon so that the whole handle vanished in his paw; he bent over the bowl and slurped so loudly that he seemed not to be using the spoon at all, but to be transferring the food from bowl to mouth by suction alone. Athena could eat properly– why didn’t she correct him in private? But Athena went on spooning up her soup, glancing from time to time at the children, and spread around her a shy, attentive calm which even Elizabeth, to whom Dexter’s table manners were merely one more avenue to her complicated memories of his family, found soothing and agreeable.
Does "Athena could eat properly" mean "If Athena ate she could eat properly"?
Does "why she did not correct him in private?" mean "Why she did not correct him before when just she and Dexter were at home"?
Does "But Athena went on spooning up her soup" mean:
she ate with her spoon?
she just was stirring her soup?
Source: The Children's Bach by Helen Garner