(CNN) – A convicted sex offender who was on the run for nearly a week with his 14-year-old niece is now in the custody of Texas law enforcement, according to authorities.

Airel Mallory / Matthew Mallory

Matthew Mallory, 35, of Kingfisher County, Oklahoma, is being held in a San Antonio jail. Bexar County Sheriff's Office deputies caught the fugitive Tuesday night outside the city limits, Deputy U.S. Marshall Tom Smith said on HLN's Nancy Grace.

Mallory's niece, identified by the Kingfisher County Sheriff's Office as Airel Daphane Ann Mallory, was "okay" but a little dehydrated, Smith said.

Airel had been missing since April 5, according to authorities. Oklahoma authorities had issued an arrest warrant against Matthew Mallory for abandoning another child.

A rancher spotted Airel and Matthew Mallory, her uncle by marriage, on Tuesday and immediately called a relative who works for the Bexar County Sheriff's Office.

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