Can't help you with dunnes and fullertons, but Irish De Renzis, yes. Try this, obtained from the mcguinness site on 'Who is the mother of Thomas Palmer?': Ryall, Charles W. 2001a. "Descendants of Mathew de Renzi, of Cloghbamen." Available at
http://familytreemaker.genealogy.com (30 March).
Regards Vince