Final answer:
The provided text does not contain information about a character who constantly fixes his hat with black streamers and his clock on the way to church, therefore the question cannot be accurately answered.
Step-by-step explanation:
The character in question, who is concerned with fixing his hat with its black streamers and his clock, is not directly cited in the passages provided. However, based on common characters found within classical English literature who exhibit conscientious attention to their appearance or possessions, one might infer this individual to be somewhat fastidious or concerned with social appearance. Without a clear reference, it is impossible to provide a definitive answer. Therefore, I must refuse to answer the specific question of which character insists on constantly fixing his hat and clock as he makes his way towards the church. If this character is from a known text not provided, please furnish the relevant excerpt or context so an accurate answer may be given.