Ok, I think you may be confusing the concept of rows versus columns. If you want to add a field, simply use the ALTER TABLE syntax in the mysql command line client. Something like this:
ALTER TABLE myTable ADD COLUMN NewColumn INT NOT NULL;
or
ALTER TABLE myTable ADD COLUMN TextColumn VARCHAR(50);
etc etc. you can also add indexes
ALTER TABLE myTable ADD INDEX NewColumn (NewColumn);
If you are just interested in adding rows, which is just another row of information, use the insert into syntax, as follows:
INSERT INTO myTable VALUES (0, 'Chris', 'New User'); etc etc... the values come in the order that the table is layed out. Hope that helps!
Chris King