From the Woods Hole report, as found at The Oak Island Compendium:
Page ii, item ix
"Radiocarbon age dates of two "coconut" fibre samples were run. One sample from D. Blankenship (via Oak Island Discoveries); it was dated at 765 ybp [years before present]. The second sample was found at Smith's Cove by D. Henskee and D. Aubrey; it was dated at 1100 ybp. The provenance of the Smith's Cove sample is unclear.
Note the quotation marks around "coconut" were not my addition, but were in the original text. The following text from the report explains.
Page 40
"We sent SEM photo-micrographs and portions of the original fibre sample to two palm experts: Scott Zorn of the Fairchild Tropical Garden in Miami, FLA, and Professor (Emeritus) Natalie Uhl, of Cornell University.
"Dr. Zorn thought the fibres might be husk fibres of a coconut, but his comparison with modern fibres was inconclusive. Dr. Uhl has been of great assistance, but she is continuing her investigation. She concluded that the SEM photo-micrographs do resemble fibrous bundle sheaths in palm stems. However, without the full bundle, she could not be conclusive."
The report continues to state that Dr. Uhl is referring the work to an expert in Leopoldinia spp, a species that has been used for fibre in the past, and is native to the new world.
So, two samples of uncertain provenance were unable to be positively identified by two separate experts.