Also highly ranked on google were discussions like this:
http://skepdic.com/cellular.html
I don't know enough about skepdic to judge whether or not they're a valid source of information; but so far _nothing_ has appeared to have any real facts about this. Frankly, it strikes me as a fairly ridiculous notion, but if there are some actual facts out there to be considered then it would be great to see them. Hubpages is a glorified blogging site from what I can tell.
As far as I'm aware, the only organ that can store memories is the brain; and I couldn't find anything that was willing to argue against that fact with any form of scientific rigor.
I would rather have a farmed organ made and grown from my own cells (assuming it is possible and proven method of course) than a donor organ that might have some chance of either rejection or even the remote possibility of adding or changing my personality / persona.
http://www.springerlink.com/content/k51335l4k4676577/ "We conducted open-ended interviews with volunteer transplant recipients, recipient families or friends, and donor families or friends, in hospitals in various parts of the country. Patients included ten recipients who had received heart or heart–lung transplants. Main outcome measures were transcripts of audiotaped interviews quoted verbatim. Two to 5 parallels per case were observed between changes following surgery and the histories of the donors. Parallels included changes in food, music, art, sexual, recreational, and career preferences, as well as specific instances of perceptions of names and sensory experiences related to the donors. The incidence of recipient awareness of personal changes in cardiac transplant patients is unknown. The effects of the immunosuppressant drugs, stress of the surgery, and statistical coincidence are insufficient to explain the findings. We suggest that cellular memory, possibly systemic memory, is a plausible explanation for these parallels."
Occam's razor most certainly applies.