The library has papyri from Oxyrhynchus, which were presumably from the excavations from the Graeco-Roman branch of the EEF. However, we don't know if the material was given to Bedford College or Royal Holloway.
Links[1] https://egyptartefacts.griffith.ox.ac.uk/destination-country/uk-0 [2] https://egyptartefacts.griffith.ox.ac.uk/destination-country/england [3] https://egyptartefacts.griffith.ox.ac.uk/tags/london