Right I think I may have made some sense of things.
Firstly I think you are interested in Emma Jane Smith who married a Samuel Price, them being the parents of William Kirby Price. If this is incorrect then ignore everything else.
Why do you think that Emma's mother was an Elizabeth Ann Morgan? I can see a number of trees on Ancestry that appear to list her as Emma's mother but I would say they are all wrong.
I think Emma Jane Smith birth reg. Mar 1866 was the daughter of Charles Smith and Elizabeth Manners.
Their marriage was reg. Dec 1853 Kings Norton. Elizabeth's birthplace is consistently listed as Bham and in 1881 they are living in Lower Hospital St and Charles is listed as a Glass Toy manufacturer. In 1871 he is a Glass Worker (which you mention) though in 1861 he is a Porter.
Their marriage record (as Manner) is on Ancestry and I'm not certain but it appears that their is no father listed for her so she may have been illegitimate.