The quote expresses a strong sense of individuality and detachment from familial or societal connections. The speaker emphasizes a desire for independence and a rejection of any obligation to belong to anyone else. This sentiment highlights a personal choice to remain solitary and self-reliant, possibly as a response to past experiences or a fundamental belief in personal freedom.

From the context of "Lonesome Dove," this theme resonates with the broader narrative of the book, where characters navigate their own paths in a rugged landscape. The stark declaration of not wanting kinship reflects complex relationships among characters, emphasizing themes of loyalty, freedom, and the human condition in a harsh world.