Rod:
From what you say, your gunmaker is probably an ironmonger. Stanfort & Laxton is not listed in any Boothroyd or Nigel Brown volume. Many shops had their own names put on Birmingham guns. This is probably your case. It does NOT bean the gun is poorly made.
The 14 indicates that the gun was proofed at 14-bore. 12c is 12-bore chamber. Originally, one barrel was choked - probably the left. If you are sure the chambers measure 2 3/4" then they've been lengthened. Use moderate loads only if the gun is shootable.
If you care, email pics to
dgclassics2@yahoo.com and perhaps I can tell you more.
Best, Kensal