It seems that the Green Collection, in addition to the manuscript of Hebrews noted previously on this blog, is also in possession of a fragment of 1 Corinthians. According to a report on the Bethel web-site (found by a friendly sleuth), this is 'a small fragment (ca. 1-3/4" w. x 2-3/4" h.) ... (which) preserves portions of 1 Corinthians 8.10-9.3 & 9.27-10.6' [PMH: this would make it a small portion of quite a big page]. Apparently a second-century date is being proposed, as it was for the Hebrews manuscript. [PMH: hmmm. I think I'll wait for the photos.]
The bare bones of the story are confirmed on another web-page which also confirms the rumour that the Green collection has also purchased the Bodmer Psalms Codex (see here).