Elisha Pooser was the son of Wm. H. Sr. Pooser (b. abt 1790 in Orangeburgh District, South Carolina, died before 30 Nov 1855 in Barnwell, SC) and Anna Margaret Stroman (born about 1793 in Orangeburgh District, SC and died about 1856 in Orangeburg County, SC)... you can check out his pedigree on RootsWeb... JBStowe has info in her website for Bankhead and related families of South Carolina.
The only info I have on Elisha is the first name of William (William Elisha Pooser), born about 1812 in Orangeburg Co., SC. I DO NOT have the info on his wife, Miss Maxwell, which you have posted and would appreciate your sharing. I have a number of Poosers in my database and I am searching for a female, Eliza Pooser who married a Thomas Barton in about 1819.