Oswald said that he could not await her husband's return because he was flying to Mexico.1131 The Twifords have stated that they had no other contact with Oswald.1132

An employee of the U.S. Selective Service System has stated that an individual calling himself "Harvey Oswald" appeared at her office in Austin, Tex., immediately after lunch on September 25, and discussed with her the possibility of rectifying his undesirable discharge from the Marine Corps.1133 Despite the employee's reputability and apparent sincerity, all of the information which she furnished with respect to Oswald's appearance and conversation could have been derived from news media, consciously or unconsciously, by the time she told the FBI her story. Other persons in Austin who, according to the employee's testimony, should also have observed Oswald failed to corroborate her testimony.1134 No other evidence tending to show that Oswald was in Austin at this time has been discovered.

The telephone call which Oswald made to the Twifords on the evening of September 25, indicates that he was either in Houston or on his way there when he made it, since the purpose of the call was to make an appointment to see Twiford in Houston that evening. Oswald could not have left New Orleans on September 25, been in Austin 521 miles away by early afternoon, and returned 162 miles to Houston by night unless he traveled by air; airline records contain no indication that Oswald was on such flights.1135 It is very unlikely that he had with him enough money beyond what he needed for the trip to Mexico City to take such flights, and the poor state of his finances at this time plus his well-established frugality make it extremely unlikely that he would have considered it worthwhile to do so even if he could. There is no evidence that Oswald was in such a hurry to reach Mexico that he would have felt it necessary to travel by airplane rather than a less expensive means of travel. He took a bus from Houston to Mexico City, lived very inexpensively there, and took a bus back to Dallas; there is no apparent reason why he would have interrupted such an inexpensive trip to fly to Austin and then to Houston. He told a passenger whom he met on the next leg of his trip that he had come from New Orleans, and made no reference to Austin.1136

On September 26, Oswald boarded Continental Trailways bus No. 5133 in Houston and departed at, 2:35 a.m. for Laredo, Tex., via Corpus Christi and Alice.1137 Two British tourists, Dr. and Mrs. John B. McFarland, who boarded No. 5133 in Houston, noticed Oswald when they awoke at about 6 a.m. Oswald told them that he was going to Cuba via Mexico City, and they inferred from conversation with him that he had left New Orleans early in the afternoon of September 25 and that he was going to Cuba via Mexico City. He said also that he was secretary of the New Orleans branch of the Fair Play for Cuba Committee and that he hoped to see Fidel Castro in Cuba. The bus was scheduled to arrive in Laredo at approximately 1:20 p.m.1138