The Barker pedigree in the 1623 Visitation of Shropshire startes with this generation, described as "Randulfe de Couerall, Ao 12 E. 2." married "Margarett da. to Petter Pigott of Willaston in com. Salop." They had a son "William Barker ali's Couerall." 
 George Grazebrook and John Paul Rylands, The Visitation of Shropshire, taken in the year 1623, Part 1, Publications of the Harleian Society, Visitation Series, Vol. 28 (London, 1889), 27, [HathiTrust], [HathiTrust].