The couple, whose behavior, Hill observes, has become increasingly erratic in the last few years, asked Canadian officials for asylum.
Under questioning, Evi told authorities she believes actors David Carradine and Heath Ledger -- both former co-stars of Randy -- didn't die as reported, but in fact were murder victims.
Beyond that, Evi says she's afraid she and her husband will be next to die.
"On a scale from one-to-ten," says Michael Lewittes of GossipCop.com, "this is a ten. This is as crazy as it gets. The Quaids' claims that Heath Ledger and David Carradine were murdered are absolutely ridiculous. David Carradine hanged himself in Thailand and Heath Ledger, unfortunately, died of a drug overdose."
Randy Quaid has appeared in more than 90 films, including "National Lampoon's Vacation" and, most recently, "Brokeback Mountain."
But, says Hill, as his career has slipped in recent years, he and Evi have had several bizarre run-ins with the law.
In September 2009, they were accused of fraud for allegedly running out on a $10,000 hotel bill. Then, last month, they were charged with burglary for allegedly living in a house without permission and causing $5,000 in damage.
"My impression when I was working for them," says private investigator Becky Altringer, "is that they were both really lost."
She adds she's not surprised by the recent turns of events, saying, "Randy Quaid told me that he knew Evi needed help, but he didn't want to be the one to commit her."
The two have been released on bail pending a hearing with Canadian immigration officials.