BUT THEY APPARENTLY LACK FACTS TO BACK ANY OFTHEM UPChicago, Jan. 25—(/P)—Police were still far from a solution today of the mystery of the slaying of William (Three-Fingered Jack) White, Capone gangster, but there was no lack of theories.First, they considered the possibility that the ex-convict and killer had been “put on the spot” in his Oak Park apartment late Tuesday night by two gunmen whom his widow knew only as “Bill” and “Joe” because he had been suspected of tipping government agents off regarding notorious criminals.This theory was bolstered up due to the fact that James Hartin, an agent of the department of investigation, and Oliver Kempster, of Sterling, 111., a state highway police sergeant and a government investigator, had visited White a few hours before he met his death.Sammons May Have Instigated It Dipping into gangland circles for a clue police also said it was possible that the killing was directed by James (Fur) Sammons in his cell at the Michigan City, Ind., penitentiary in retaliation for a supposed double-cross on the part of White in looting a safety deposit box the two were believed to have held in common, of the $80,000 it contained. Last but not least the possibility that White was marked for death for failure to divide the receipts with others in control of the outlaw teamsters’ unions that he headed. Kempster and Hartin Sent to FindHimMelvin H. Purvis, chief of the bureau of investigation, admitted that Kempster and Hartin had been sent to White’s apartment in the hope of finding him, but refused to reveal why the government wanted the gangster.Police were keeping up their search today for William (Klon-dyke) O’Donnell, identified by Mrs. White as the “Bill” who was calling on her husband when she left the apartment to attend a movie. Pending the inquest today Mrs. White, her brother, James Kelley, and the woman companion who returned with them to the. scene of the shooting, Miss Dinah Andersen, also of Sterling, were held.