There are other timetables and a couple of updates on the BOAC schedules between Aug 1961 from this 1960 page posted above.
So the Honolulu to Kenya route was Honolulu-San Fransisco-New York-London, then a once a day London to South Africa route via Rome and Khartoum, then Nairobi, leaving at 19.00 and not arriving until 9:15 the next day. This would take at least 48 hours, probably more.
It defies credulity that the first flight in a young woman’s life would be as a pregnant woman flying half-way round the world, on a grueling 3-day multi-stop trek, in the process risking the health of the baby.