Forgot to mention, C&H is a highly regarded English "maker". Maybe not in the league of H&H, Purdey, Rigby or Jeffery, (in notariety anyway) but they did put out quality.
In your eyes maybe, but most people I know who like English guns would hardly even look at a Cogswell.
I don't think they are anywhere near the other names you mentioned, including Jeffrey even though he didn't make much / anything himself.
Sorry, just my HO.
FYI, $4500 for a C&G 375, subject to year made, model, finish etc, overpriced IMHO.