Jim,
Again many thanks for your suggestions. With your help and comment about an Elizabeth Morton, daughter of Thomas and Ann Morton, I decided to look in the St Peters District, Birmingham 1841 census which is online (Warwickshire Ancestors Proj.) and low and behold I found the following household on Moor St.
Moor St,1,Thos Moreton,60,,Inge Maker,WAR,
,,Ann Moreton,,70,,WAR,
,,Henry Thompson,35,,Gun Finisher,WAR,
,,Elizh Thompson,,35,,WAR,
As you can see, Ann Mor(e)ton was still alive in 1841 and therefore showing that Elizabeth Thompson must have been the daughter of Thomas and Ann Moreton.
According to the IGI, this Elizabeth Mor(e)ton was associated with one of the two religious organizations:
Paradise Street Paradise Meeting-Protestant Dissenbirminghamitarian
or
Bond Street Baptist, Birmingham
Wonder what Dissenbirminghamitarian means?
Again many thanks,
Bob Croman
Plano, Tx