The key to your search is to vary the last name spelling from MAYBERRY to MABERRY. Ancestry.com has U.S. Census Records for years 1880, 1900, 1910, 1920 showing Nancy Ann Maberry, wife of Alexander Maberry, and their respective children. As well as reference to her Illinois State Death Record, showing her date of death as 2/12/1926.which shows her father as Edward.
There is also a nicely posted memorial on www.findagrave.com for her and Alexander Maberry (although the tombstone clearly spells the last name as Mayberry), with links to their children, as well as his parents, and so on, the URL is http://forums.findagrave.com/cgi-bin/fg.cgi?page=gr&GRid=58282646
For the Irish roots you can search Ireland National Archive site, which are online at http://www.nationalarchives.ie/