But in August 1953 the rains came, and the 500-year floodplain was quickly reached. The government closed the dam before paying for the land and improvements, figuring they had several years before the water would rise-there had been six years of drought. The government offered to move the settlement of families to Zapata, the county seat, where good schools, parks, water, sewage disposal, and paved and curbed streets would be available but the families, whose ancestors had come to the area, settled it and opted to keep their site. Old Falcon had 4.01 acres in common riverfront and 12.27 acres in its town tract. This was done because there was already a post office a few miles away called Ramireño, at Ramireño de Arriba, and the post office needed a different name. In 1915 a post office was established, and the village changed its name to Falcon, in honor of the wife of the founder. In the early 1900s Ildefonso Ramírez opened a general store there. In 1780 Ramírez married Margarita de la Garza Falcón, thus uniting two of the area's most distinguished families, and moved to the old site of Falcón.

In the mid-1700s the king of Spain granted 6,123 acres to José Clemente Gutiérrez, who later sold the land to José Clemente Ramírez. The Spanish crown set the land aside for the colonists of Revilla, known as Guerrero, after Mexican independence. Settlers had been brought to the area by Col. It was moved from an original Falcon at the junction of Medio Creek and the Rio Grande in southeast Zapata County during the flood in August 1953, which was caused by the completion of Falcon Dam in December 1952. Highway 83 two miles west of the Starr-Zapata county line.

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