This depends on whether you're using a cmevla (not a cmene, ta'o; selbri names are cmene too) or a selbri name. With a selbri name things are clean: a relative clause before the ku is in the name, a relative clause after the ku is not. This does mean, somewhat annoyingly, that {la latro'a noi bebna} is "the one named "latro'a noi bebna"". With a cmevla name, you can't attach a relative clause inside the name after the cmevla starts, so that {la .latros. noi bebna} attaches a relative clause to {la .latros.}. Note that {la noi bebna .latros.} is valid, and is "the one named "noi bebna latros"".
mi'e la latro'a mu'o
If a sumti prefixed with {la} (with either a selbri or cmene inside) has an associated relative clause/phrase or linked sumti, how much of these are part of the name, and how much are just extra information? There are situations where both are useful.