HI dryfly, these are the same gun. Same A&D action, same engraving pattern, only different importers. The only difference with the importers are the model designations.
LCS only imports this gun with an english stock and SPFE with either DT or ST.
Parker-Hale imported them as the 640 series (extractors) or 645 (ejectors). The models also were subdivided into "A" (American style; BTFE, PG and SNST) or "E" (English style; SPFE, english stock and DT). They also had the XXV, 25" bbls based on the E.J. Churchill pattern.
The P-H guns that I have seen, seem to have better wood on them, more figure than the LCS guns.
Both of these guns are top notch BL's, excellent handling and very good workmanship, hard to beat the price for what you get.
Hope this helps
All the best!