Final answer:
Bill's difficulty with speech due to brain damage is likely associated with damage to Broca's area, which results in Broca's aphasia and affects language production.
Step-by-step explanation:
If Bill is having difficulty speaking where he cannot get words out in a smooth, connected fashion, and if this is due to brain damage, it is likely that the damage is located in Broca's area. Broca's area is part of the brain that is critically involved in language production. Individuals with damage to this area have difficulties with speaking and forming coherent sentences, a condition known as Broca's aphasia. This is different from damage to Wernicke's area, which affects language comprehension.