Deigan in general (actually pretty much anyone aside from humans native to Rodoria or Kirkin) don't usually incorporate names from Earth, no, but tend to use names native to their own cultures. Deigan names (including those of the free deigan) are usually made up by words from their language, with individual words within a statement being separated by a apostrophe. A couple of examples of deigan naming (although these are both ascended deigan, and coincidentally also both female) could be Vilhej'deo'calahuneth ("beautiful bright miracle") and Kyliarandririhl (which, contrary to the norm, does not have a translation). An example of a male free deigan name could be Gahmakajin, and are - as one might observe - usually shorter than ascended deigan names, and sound "cruder".
Deigan generally adopt shortened and/or simplified versions of their names to use among other cultures (Vilhej'deo'calahuneth becomes Vilhej, Kyliarandririhl becomes Kyliara, etc.), and rarely even borrow names native to the cultures they visit. But I digress.
Yes, free deigan ordinarily also use Fermian words in their names, but occasionally take names that don't have meanings as well. But yeah, it's in that vein of names, generally.