The Boeing 727, once a popular passenger aircraft, is now mostly used by cargo carriers and military air forces around the world. Only five 727s currently remain for passenger service, with two owned by the Mexican Guardia National.
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Whilst it's rare to see a 727 in the air these days, there are still some rare flying examples operating in unique roles. Let's take a look at the background and outlook for the iconic Boeing trijet.
The only airlines I can think of off hand that flew regularily scheduled B727 trans-Atlantic flights are Wardair and Sterling. But there is no way these aircraft could have, (nor did) fly across the Atlantic non-stop. That would be the kicker for your Mom. If it was non-stop, then it was not a B727.
While the 707 is no longer used for commercial flights, many 707s and their variants remain operational in specific applications. Several national Air Force branches continue to fly 707s for transportation, refueling, and reconnaissance.