Thanks for the cites of these 2 relevent facts:
1) “On Feb. 2, 1961, several months after they met, Obama’s parents got married in Maui, according to divorce records. It was a Thursday. At that point, Ann was three months pregnant with Barack Obama II. Friends did not learn of the wedding until afterward. “Nobody was invited,” says Abercrombie.
2) About the divorce: “Ann filed for divorce in Honolulu in January 1964, citing “grievous mental suffering”—the reason given in most divorces at the time. Obama Sr. signed for the papers in Cambridge, Mass., and did not contest the divorce.”
Note which you don't recite but I assume you noticed, the fact (Maui) is recited as having come from the Complaint for the divorce. She is sitting there in the law office and the lawyer says well we have to plead the fact on the marriage and she thinks well, I can't say Honolulu cause I know it wasn't there; Maui is the wild west, maybe nobody will know.
I guess the reason for looking for the divorce file was to find out where he plead they were married so if we are willing to take Time's word for it, we can abandon that--too much to hope for that she would have said Mombasa.
If we can look at Vital Statistics in the newspapers and exclude any notice of a Marriage License or Certificate, we really don't have anywhere else to look except Mombasa.