The tenant will often be required to pay a non-refundable fee. Applicant's name (as listed on proof of identification).Applicant's former last name (if applicable). E-mail. How to fill out a residential lease application in Texas? List all personal details accurately. A Texas rental application enables landlords to obtain the background information of lease applicants before authorizing a residential tenancy agreement. A Texas rental application (Form 2003) is an official document the Texas Association of Realtors provides. You will complete a rental application and pay a non-refundable application fee to cover the cost of verifying your credit, rental history, etc. Simplify tenant evaluations with our Rental Application Form Texas. Easily edit, fill and sign for free with Lumin.