Later, the author David Sox, included mention of this relic in his book, Relics and Shrines.
And I should add - that is how I think Helena's excavators determined which was Jesus' actual tomb. The "Titulus Crucis" was found in the tomb.
What of the actual cross "timbers"? I think Carsten Thiede is correct in that those timbers found in Helena's excavation were probably the later construction's cross beams that looked like crucification crosses or to my thinking the crucification scaffolding that was knocked down and built over by Hadrian's builders. Being wooden crucification scaffolding, they probably were not the exact same wood beams used during Jesus' crucification - being replaced as a form of maintenance at the execution sight as the original crucification scaffold beams deteriorated through use and exposure to the elements.