Why not just go to Seattle where she had friends? Frankly, I would believe the ‘she went to Canada by herself to have the baby’ before I would the ‘she went to Kenya by herself to have the baby’.
Here is the archives record for people coming from Kenya to the US between July 1st, 1961 and June 30th, 1962.
http://archive.org/stream/annualreportofim1962unit#page/73/mode/1up
For the time period only 1 person came from Kenya to the US by air and that person was not a US Citizen.
“For the time period only 1 person came from Kenya to the US by air and that person was not a US Citizen.”
Seven came by sea. This is a secondary record subject to simple error by only one clerk to render it invalid.