Applicant's name (as listed on proof of identification). Applicant's former last name (if applicable). E-mail.Your rental application is your opportunity to stand out amongst other applicants, so pay attention to spelling and grammar. Full name (exactly as it appears on driver license or govt. A Texas rental application enables landlords to obtain the background information of lease applicants before authorizing a residential tenancy agreement. How to fill out a residential lease application in Texas? List all personal details accurately. Download the leasing application and leasing requirements below. Completely fill out the application(s) and sign the Tenant Selection Criteria form. Applicants must submit a completed application form along with supporting documents such as proof of income and a security deposit.