Applicant's name (as listed on proof of identification). Applicant's former last name (if applicable). E-mail.The tenant will often be required to pay a non-refundable fee. 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. Easy-to-use Texas rental application forms. Save time and keep your records safe and easily accessible with RentSpree's online rental application for Texas. 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.