I am interested in the process followed during the early days of bitcoin mining - back in 2009, 2010.
I understand that mining was performed on home computers, and the difficulty level was obviously much easier than now

(and the block reward was 50 btc)
What I do not understand is why each block that was mined back then seems to go into a new, unique, bitcoin address?
For instance, look at block 1001
http://blockexplorer.com/b/1001
The block reward went to address 1FJNKtXWjbNA1TBzCyTEnoMEbC8XsFPmFF
This address is never re-used. (afaik)
Look at block 1002, 1003, 1004, etc. They all are associated with new addresses.
I have (just manually), clicked through dozens of those early block rewards, and none of the addresses seem to be ever re-used.
Surely if there were only a handful of miners back then, each miner would have only one address that the block reward would have been being sent to? Why do none of those early bitcoin addresses have more than one block reward added into them?
Can anyone explain?
If I had done some bitcoin mining back then, would I have a unique bitcoin address that contained the sum of my mining efforts?
Thanks
Dave