The reweave theory was always a desperate one. It was the brainchild of one Sue Benford who believed in the special energy of pyramids and her husband Joe Marino a former monk. Neither could show the slightest experience or knowledge of ancient textiles or weaving methods. They claimed that the corner of the Shroud from which the r-c sample was taken had been rewoven in medieval times. What they never explained was why there should be meticulous reweaving in this obscure corner of the Shroud when areas closer to the images which were in desperate need to reweaving were left untouched.
They believed that they had the support of Raymond Rogers who, working only from threads and not an actual weave, claimed that he had evidence that cotton had been placed in a reweave. Cotton there certainly was but only in small fibres that had already been noticed in 1973 and attributed by a Belgian expert Gilbert Raes to spinning or weaving of the flax(linen) in an atmosphere where there were drifting cotton fibres. After 1200 in particular, the enormous influx of raw cotton into Europe and the fact that spinners and weavers worked on both in the same work places made the presence of these small fibres hardly surprising. Inevitably the amount of cotton in each part of the Shroud would vary according to where the different skeins of yarn were spun and, as Raes suggested, the closeness of the weave to the edges of a loom which had previously been weaving cotton. It would be a long and tedious job to see which parts of the Shroud have cotton in it and which parts not as it is not easy to spot the fibres within the structure of the yarn. The presence of these cotton fibres certainly suggest a date after 1200 and if there is ever an intense examination of the Shroud for cotton fibres and they are found this would give supporting evidence for the spinning and/or weave of the Shroud in the medieval period.
When the Oxford lab checked out their sample of the weave before they tested it, they spotted a fibre of cotton which was removed, so there is no reason to suppose that the presence of cotton had anything to do with the dating or that the Oxford sample had been rewoven with cotton.
Although the authenticists do not mention this, Rogers, Benford and Marino were soon effectively challenged. John Jackson,a member of STURP, had photographic evidence of the different bandings of linen in the Shroud and these showed conclusively that they continued uninterrupted through the area where reweaving was supposed to have taken place.
Then in 2002, a restoration of the Shroud was out into the care of Mechthild Flury-Lemberg, an authority on ancient weaves. She was well aware of the claims of a reweave so she looked carefully at this corner and saw, like Jackson, that there was no sign of a reweave. Her article can easily be found online under Flury- Lemberg, 'The invisible Mending of the Shroud, the Theory and the Reality'. She makes the point that not a single textile expert who has examined this corner of the Shroud has ever been able to spot any sign of a reweave.
Still the reweavers simply go on their way, confusing the issue and deceiving the unwary.