( CNN ) -- A man suspected in the slayings of his girlfriend and her four children admitted choking the Oklahoma woman to death , but said the children were not present at the time , according to an affidavit filed in the case . Joshua Steven Durcho was arrested Tuesday after a car chase with police . Joshua Steven Durcho , 25 , was arrested Tuesday night in Hamilton County , Texas , officials said . He is suspected of killing Summer Rust , 25 ; her son Teagin , 4 ; and daughters Evynn , 3 , and Autumn and Kirsten , both 7 . All five bodies were found in Rust 's apartment in El Reno , Oklahoma , about 30 miles west of Oklahoma City , on Monday . Durcho 's first cousin notified authorities he found the body of Rust , who is identified in the affidavit as Summer Dawn Garas . Police also found the children 's bodies in the apartment , according to the affidavit , written by a special agent with the Oklahoma State Bureau of Investigation and filed Tuesday in Canadian County , Oklahoma , District Court . `` The Medical Examiner 's Office has reported to our agents that the preliminary assessment of the cause and manner of death for all five individuals was asphyxiation , suffocation and strangulation , '' the affidavit said . `` It was also reported that each body had ligature marks around the neck . The ligature marks were also observed by OSBI crime scene investigators . '' A spokeswoman for the state medical examiner 's office told CNN on Wednesday that the cause of death for Summer Rust and Teagin was strangulation , and that a ligature -- which could include a string , cord or wire -- was used to strangle them . Autopsies on the three girls were being conducted Wednesday , the spokeswoman said . A woman told police Durcho came to her apartment Monday afternoon and told her he had `` choked '' Summer Rust to death and that he was leaving Oklahoma , according to the affidavit . The woman asked Durcho about Rust 's children , the affidavit said , and `` Durcho told her that the children were at their grandmother 's residence ... while he and Summer worked out their relationship problems . '' The woman called Durcho 's mother and told her what he had said about killing Rust , the affidavit said . Durcho 's mother drove to the apartment to check on the woman , but no one answered her knocks . She then called her nephew , Durcho 's cousin , to accompany her , leading to the discovery of Rust 's body , according to the document . About 6:30 p.m. Monday , the affidavit said , Durcho went to the home of another cousin , a female , and told her `` he was in trouble and that he was headed out of state . '' Durcho was driving Rust 's 1989 white Ford Thunderbird , the document said , and asked his cousin to swap cars with him , but she declined . A surveillance video showed Durcho at a truck stop on Interstate 40 about three hours later , driving the Thunderbird , the affidavit said . Early Tuesday morning , a text message was sent from a cell phone in Durcho 's possession to his mother 's cell phone , according to the affidavit . Tracking and cell phone records showed Durcho 's phone was located in Wichita Falls , Texas , at the time . Later that morning , Durcho called his mother , with the call shown to be from the Abilene , Texas , area , the affidavit said . Durcho 's mother said `` Durcho told her he loved her and had to go , '' according to the document . Police said Durcho was arrested after a car chase Tuesday night . A Texas state trooper attempted to stop the car Durcho was driving because the trooper suspected the driver was drunk , according to Erin Mangrum of the Canadian County sheriff 's office . When the trooper ran the license plate on the car , it matched the tag number of a vehicle sought by Oklahoma police . The car sped off , Mangrum said , and during the ensuing chase the car crashed . Durcho suffered only minor injuries and was taken into custody , Mangrum said . A court hearing was to be held for Durcho on Wednesday in Hamilton County , according to CNN affiliates . The Hamilton County district attorney 's office did not immediately return a call from CNN . Durcho was being held in the county jail Tuesday night , Mangrum said . Rust 's mother , Susan Rust of Carson City , Nevada , said Durcho was unemployed and had been living with Rust and her children .
NEW : This means the product will ship as received by the manufacturer, sealed, with all advertised components, and with the manufacturer warranty. Mother , son strangled with ligature , autopsy shows . Suspect arrested after chase in Texas . Family found dead in Oklahoma apartment on Monday .