I would usually keep the address on the Person table, unless there was an unusual need for absolutely uniform addresses on each entity, or if an entity could have an arbitrary number of addresses, or if addresses need to be shared between entities, or if it was a large enterprise product where I know I have to invest in infrastructure all over the place or I will end up gutting everything down the road.
Having your addresses in a seperate table is interesting because it's flexible, but in the context of a small project lacking a special need like the ones mentioned above, it's probably a slight waste. Always be aware of the balance between complexity and flexibility. Flexibility is important, but be discriminating... It's easy to invest way too much there!
In concrete terms, the times that I experimented with (for instance) one-to-one relationships for things like addresses, I ended up refactoring them back into the table because it introduced a bunch of headaches including more complex queries, dealing with situations where the address does not exist, etc. More entities also increases your cognitive load -- it makes the project harder to think about. In my case, it was an unecessary cost because there was no concrete need and, in truth, not even a gain in flexibility.
So, based on my experiences, I would "try" to keep the addresses in the same table, and I would definitely keep the names on them - again, unless there was a special need.
So to paraphrase Einstein, make it as simple as possible and no simpler. But in the short term, experiment. It's the best way to learn these lessons.