The conversation between Natalya and Lomov about their dogs turned into argument when Natalya says that her dog is better than Lomov's dog.Also, both of them were trying to prove the real owner of the oxen meadows which resulted in quarrel between them

The controversy between Lomov and Natalya in the play "The Proposal" revolves around the ownership of the oxen meadows and their respective dogs. The play, written by Anton Chekhov, is a comedic portrayal of a comedic proposal.

**Background**:
Lomov, a 35-year-old landowner, visits Natalya, a young woman and his neighbor, to propose marriage. However, their conversation quickly escalates into a series of arguments and disagreements, with the oxen meadows and their dogs becoming a focal point of contention.

**Controversy over Oxen Meadows**:
Lomov asserts that the oxen meadows rightfully belong to him and demands that Natalya acknowledge his ownership. He claims that the meadows have been passed down through generations in his family and that his ancestors bought them from Natalya's ancestors. Lomov argues that the meadows are essential for his farming activities and he cannot tolerate any encroachment on his land.

**Natalya's Disagreement**:
Natalya, on the other hand, vehemently denies Lomov's assertions and insists that the oxen meadows belong to her family. She argues that her father had purchased the meadows from Lomov's family and therefore, they rightfully belong to her. Natalya accuses Lomov of attempting to seize her property and asserts that she will not tolerate such claims.

**Dog Ownership**:
In addition to the dispute over the meadows, Lomov and Natalya also clash over the ownership of their respective hunting dogs. Lomov claims that his dog, Guess, is the best hunting dog in the region and challenges Natalya's dog, Squeezer, to prove its worth. Natalya defends her dog's abilities and the argument escalates as both characters become increasingly defensive about their animals.

**Resolution**:
The controversy over the oxen meadows and the dogs ultimately serves as a catalyst for the escalating tension between Lomov and Natalya. However, the play takes a comedic turn, and the resolution of their differences is achieved through a series of misunderstandings and a sudden bout of fainting. The play ends with Lomov and Natalya agreeing to marry each other despite their disagreements, highlighting the absurdity of their arguments.