Answer by taking a quote from the following article:

Stephen Fuller Austin (November 3, 1793 - December 27, 1836) was an American empresario. Known as the "Father of Texas", and the founder of Texas, he led the second, and ultimately, the successful colonization of the region by bringing 300 families from the United States to the region in 1825. Born in Virginia and raised in southeastern Missouri, Austin served in the Missouri territorial legislature before moving to Arkansas Territory and later Louisiana. His father, Moses Austin, received an empresario grant from Spain to settle Texas.

During Austin's time in Arkansas, his father traveled to Spanish Texas and received an empresarial grant that would allow him to bring 300 American families to Texas, they would be called "The Old 300." Moses Austin caught pneumonia soon after returning to Missouri. He directed that his empresario grant would be taken over by his son Stephen.  Although Austin was reluctant to carry on his father's Texas venture, he was persuaded to pursue the colonization of Texas by a letter from his mother, Mary Brown Austin, written two days before Moses Austin would die. Austin boarded the steamer, Beaver, and departed to New Orleans to meet Spanish officials led by Erasmo Seguin. He was at Natchitoches, Louisiana, on June 31, 1821, when he learned of his father's death. "This news has effected me very much, he was one of the most feeling and affectionate Fathers that ever lived. His faults I now say, and always have, were not of the heart."  At the age of 24, Austin led his party to travel 300 miles (480 km) in four weeks to San Antonio with the intent of reauthorizing his father's grant, arriving on August 12. While in transit, they learned Mexico had declared its independence from Spain, and Texas had become a Mexican province, rather than a Spanish territory. Jose Antonio Navarro, a San Antonio native with ambitious visions of the future of Texas, befriended Stephen F. Austin, and the two developed a lasting association. Navarro, proficient in Spanish and Mexican law, assisted Austin in obtaining his empresario contracts. In San Antonio, the grant was reauthorized by Governor Antonio Maria Martinez, who allowed Austin to explore the Gulf Coast between San Antonio and the Brazos River to find a suitable location for a colony. As guides for the party, Manuel Becerra and three Aranama Indians, went with the expedition.  Austin advertised the Texas opportunity in New Orleans, announcing that land was available along the Brazos and Colorado rivers. A family of a husband, wife, and two children would receive 1,280 acres (520 ha) at twelve and a half cents per acre. Farmers could get 177 acres (72 ha), and ranchers 4,428 acres (1,792 ha). In December 1821, the first U.S. colonists crossed into the granted territory by land and sea, on the Brazos River in present-day Brazoria County, Texas.

Did his father own property in Texas?
his father traveled to Spanish Texas and received an empresarial grant that would allow him to bring 300 American families to Texas,