Final answer:
The question appears to be referring to a specific text and character, but without more context, it is difficult to provide a definitive answer. Characters in literature often have preferences for certain objects based on personal experiences or symbolic meanings.
Step-by-step explanation:
It appears that the question is referring to different texts and their characters. Without more context, it is difficult to determine who Franklin's neighbor is and why they prefer a 'speckled ax' specifically. However, it is common for characters in literature to have preferences for certain objects or tools based on personal experiences or symbolic meanings. For example, in 'The Legend of Sleepy Hollow,' Ichabod Crane preferred a 'speckled ax' because it was a practical tool for chopping wood, which aligned with his occupation as a schoolteacher. Therefore, to fully answer the question, more information about the specific text and characters involved would be necessary.