1. Have you not engaged a lawyer? If you have engaged one then it is his job to draft your reply which has to be done after perusal of the petition. We have not read her draft, so cannot tell you how to draft your reply.
2. The onus to prove her income is on you. File your reply to her application. An application has to be filed to seek court's direction to the employer to appear in the court with her record. The court may in its discretion summon any person or any document.
3. For a woman to state that she is unemployed, in order to create cause of action for maintenance, is not lying on oath.