In Edinburgh, Scotland, there is "Cockburn Street". Which is pronounced co-burn. Other good examples trip up tourists, such as Buccleuch Street which is pronounced "Buck-Loo".
Everyone for about 50 miles around: "Sorbey Bridge"
BBC: "Sourby Bridge"
My dad used to get quite irate about this.
It's actually "bête noir" - which is interesting because, commonly, ê signifies a replacement/contraction of the "es" sound. So the original phrase would have been "beste noir", which makes it easier to see the English meaning of "black beast" - an evocative phrase!
For characters you enter frequently, if your keyboard has a numeric pad, then you can use the Alt key and a numeric code as described here:
https://support.microsoft.com/en-us/topic/insert-ascii-or-un...
Unfortunately that doesn't work with the number row, only the numeric keypad.
On any OS, you can find several similar character tables online:
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[1]: On my Nordic keyboard it's somewhere to the right of P or L, but on an English one it should be Shift-6 (or AltGr-6?) in the top row, according to https://en.wikipedia.org/wiki/Keyboard_layout
I think names are always going to be a source of orthographic irregularity. Even if English were an orthographically perfect language—which of course it isn't—it would still have to be able to deal with people whose names derive from any other language.