Final answer:
There is no information available in the provided excerpts concerning Mr. Worthington or Mr. Rylance, or any proposals made between them. Thus, it is not possible to accurately answer the question without additional context or source material.
Step-by-step explanation:
The question "What does Mr. Worthington propose to Mr. Rylance?" seems to refer to a literary discussion or characters within a text. However, there is not enough context within the provided excerpts to ascertain who Mr. Worthington and Mr. Rylance are, nor what the proposal in question might be. The passages provided mention characters such as Winterbourne, Mrs. Walker, Miss Miller, and others from different narratives, but none of these excerpts contain information about Mr. Worthington or Mr. Rylance or any proposals made between them.
Since there is no sufficient context to accurately answer what Mr. Worthington proposes to Mr. Rylance, it would be inappropriate to speculate without additional information. Literary questions often require specific knowledge of the text in question, and without this, providing an accurate and fact-based answer is not possible. One would need the appropriate text or source material to provide a meaningful response to the student's question.