Anakin from Tatooine has the problem that someone with the same name as Anakin is now living on Anakin's home planet. How did the empire over look this one?
Anakin from Alderaan, kinda of pointless actually. Padme and Bail Organa are both senators, if they have similar ideals it is very possible that they are friends so he offered to take one of the children after she died, and actually could have offered to take them both back to alderaan with him and help hide them from the empire. Padme dies so Bail adopts Leia as his own, changing her name at the request/advice of Obi-Wan to aid in keeping her hidden from the empire. Could be worked that Bail Organa is actually Leia's grandfather but this gives the same last name problem that Anakin on Tatooine does except now with leia, cause im sure Anakin and Palpatine knew Leia's Maiden name. so maybe Bail is an uncle of padme's name is different it could work...either way this relationship/connection is easy to establish and we can easily put Leia being hidden on Alderaan.
now, since tatooine was never mentioned in this, it would just be some random planet that obi-wan chose. Lars and Beru could be someone Obi-Wan knows, his parents, though from age maybe his brother or cousin. The empire, at least at the time of Obi-Wan's choosing of this planet, had no interest/had not yet 'conquored' it. So when they do they never notice this Skywalker kid living there.
-Darth Simon