You should contact an up-market auctioneer house - if you mention the maker's name they will waste no time getting to you. Even if it's by a different Cartwright or an immitation they wil know. They will confirm the origins and date and offer a probable value in the hope that they get the opportunity to sell it one day. They will not charge you.
http://en.wikipedia.org/wiki/Longcase_clock
Thomas Cartwright was apprenticed to Christopher Gould. He worked in Royal Exchange and later became Clockmaker to King George I.
Peccavi
July 2009