I suggest you test your boss. If she fails, you may lay her off. -):
Since she has done Core Java I, she should be able to explain the following things to you using some examples: 1) Inheritance tree; 2) Late or lazy binding; 3) the sequence of modifiers; 4) Relationship of AWT Compoenet and container; 5) Literals; 6) References and Objects..... Don't ask her to recite the definitions. Ask her to exemplify the concepts.