The 18-year-old Alabama teen disappeared May 30 while on a school graduation trip to the Caribbean island.
"I want to see the police record from May 30th," said the teen's mother, Beth Holloway Twitty. Holloway insists the three young men hold the key to the investigation and that authorities should press them harder to tell the truth.
Meanwhile, a judge ordered a party boat disc jockey held until at least next Tuesday in the disappearance of an Alabama teenager in Aruba.
Steve Gregory Croes, 26, is one of four men detained in the four-week-old case. None has been charged, frustrating Holloway's family.
On Monday relatives also said a Texas company would help search for her.
Holloway, of Mountain Brook, Ala., disappeared on the last day of a five-day vacation with 124 students celebrating their high school graduation. Her passport and packed bags were found in her room.
Prosecutors did not say what role they suspect Croes of playing in Holloway's disappearance, reports CBS News Correspondent Kelly Cobiella. His distraught ex-wife, who was outside the courthouse, left without a word. But Croes is not being held for murder and kidnapping as the other three suspects are.
Croes, who was arrested Friday, said he knew one of two Surinamese brothers detained in the case because they went to the same Internet cafe, according to Marcus Wiggins, Croes' employer on the party boat Tattoo. It was not known what other ties he may have had to either the brothers or a third young man in detention, 17-year-old Joran van der Sloot, the son of a justice official in Aruba. The boat Tattoo docks near the Holiday Inn where Holloway was staying.