Great points in extending the data by everyone.
If we're working with just the tables in the question, you could replace the StateID column in the City table with a CountyID column so that the structure is:
State2 table:
StateID (Identity, primary key),
Name (full state name)
TwoLetterCode ('AL')
County2
CountyID (Identity, primary key),
Name (full county name),
StateID (from the State2 table)
City
CityID (Identity, primary key)
Name (full city name),
CountyID (from the County2 table, primary key)
Foreign keys:
County2.StateID to State2.StateID
County2.CountyID to City.CountyID