Alias In Inner Join Query

In my Oracle 9i Schema, I have two tables:

Table One

pocOne pocTwo
2 3
2 4
1 2

Table Two
TableTwoId Name
1 Jones
2 Smith
3 Edwards
4 Camden

My SQL to fetch all records with Smith works great:

select Name from TableTwo
Inner Join TableOne
on TableTwo.TableTwoId in (TableOne.pocOne, TableOne.pocTwo)
where Name = 'Smith'

Now I need to create an alias for the Name field. Here is my attempt:

select myAliasName from TableTwo
Inner Join TableOne
on TableTwo.TableTwoId in (TableOne.pocOne, TableOne.pocTwo),
(select Name as myAliasName from TableTwo)
where myAliasName = 'Smith'

This attempt pulls up all the records instead of just Smith records. How I can create an alias for the Name field in my above query?