As a matter of fact, Mt Kenya, just like Mt Kilimanjaro, is visible from most parts of Ukambani.
Naturally you expect those souls to have a name of their own for each of the mountains.
I expect The Somalis, Samburus, Boranas et al to have their own names for Mt Kenya too.

Thus in Ukambani Mt Kenya goes by the name ‘Kilinyaa’ – Kili/Kii meaning the one with or that has ‘Nyaa’ = Ostrich.
Mt Kilimanjaro is referred to as ‘Keyolaa’ – the one that crowns itself – snow caped if you like.

How many island towns are there. Certainly not 5,000! Lamu was the best for Mombasa is too small and Malindi has no nearby island.

Bad history. There are Chinese maps of Kenya before even mzungu came, and the Periplus of the Erythrean sea is by the Greeks from around 1AD and has Kenyan locations on it and possibly Mt. Kenya. Some of the wealthy 'Kikuyu' or what you unknowingly call "shenzi" (nigger) today, lived at the coast before Vasco go da Gamas invasion of 'Mombaza' (according to chinese) around 1500, they still had a name for Mt. Kenya, the Arab traders who broadly called this people "Zanj/Zinj"(Pre-600AD to several years BC), including interludes with the Romans, Persians, Chinese and maybe more, say they lived in coastal 'bantu cities', which the Persians corrupted to Zinj (post Muhammed era), ended up as shenzi from "Zenji" in early swahili in reference to the bush type bantu disdainful "watu wa bara", whom even the rich type coastal Arab, kikuyu/Bantu e.t.c would capture as slaves, get tasks from the interior e.t.c. This Zinj name is the reason the Leakey's dug up monkey bones in their pseudoscience to show Africans as "inferior" and labelled the Zinjathropus (original blck man), an insult to our intellect. Prior to the transatlantic slave trade, the zinj (kikuyu) was described as "beautiful" with gold earrings, (samples can be seen at archives, the trade kicked of racism around 1400 a/d and all shenzis rich or poor became fair game, especially the beautiful ladies. Merus at the coast (then the Zinj inlaws to Kikuyu around mombasa) called the Portugese "nguu tune" (red cloth), because of the red cross o their flags, they enslaved us somewhere in lamu (Mbwa), and we escaped around 1709, during the reign of the omanis and the chaos, we were lucky we had a few literate people/craftsmen to aid in escape and tell the story......variously known as the Kush (Hebrew), Ethopians (Greeks)...e.t.c e.t.c....in short Mt. Kenya has been known by people for thousands and thousands of years all the way to Noah and Abraham and it was called in different languages "The Throne of God", therefore the mzungu new exactly what Mt. Kenyas historical name is and that is what the name means, "the seat of God" e.t.c in local languages, even if yoou wake up a scholar from Cairo University in 1500 AD, he will tell you that, hizi za akini Dr. Livingstone, Stanly Morton ni ujinga ya racist wazungu!

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This was ours? We need to get it back ASAP.

In which case we need to give back Naivasha westwards to Uganda

yao ni yetu... yetu ni yetu!

A reading of the historiography of African will elucidate on what @muchknow says. Simply put the history taught to us I school is as written by the racist colonialists mostly subscribing to earlier pragialism of the Temple of Luxor libraries by the Greeks and subsequent historical justification of slavery and colonialism by historical philosophers like Hegel who averred that all history of mankind starts in the Orient and by passes Africa ("....darkness is not a subject of history...") to find its climax in Germany. Subsequent scholars eg Hugh T. Roper was famous for denigrating African history. Mind you I've not even touched on American perspective on the same.