What do lomov and natalya argue about the second time lomov tries to propose?

Lomov and Natalia are 2 of the characters in the story " A Marriage Proposal by Anton Chekhov. 
Lomov first proposed but ended up arguing with Natalia and Natalia's father, Tschubukov. They argued about who owns the Oxen meadows which Natalia's family persistently claimed  that they owned the meadows for long. However, Lomov do not want to give up the meadows and told Tschubukov and Natalia that he has all the documents to prove that he owns the meadow. 
When Natalia found out the purpose of Lomov's visit, she was disappointed with his father for not telling her. They were sorry that they made Lomov mad. And so, they decided to call him back.
When Lomov visit Natalia again, he could not tell her directly that he wanted to marry her, so he keeps beating around the  bush. Natalia and Lomov conversed. To break the silence, Lomov talks about his lamed dog, Guess, whom he is very proud of. Natalia then added that her dog,Leap, is far better than his. So, they argued and the proposal was again forgotten.