I noticed this is the second time you have posted this question, and nobody has answered. I don't use that option in Lightroom, but I don't believe It is possible to have to concurrent Facebook accounts active in Lightroom. You would have to go to the publishing manager and change accounts. If you are using two installations of Lightroom you could have different Facebook accounts on each computer. Just a suggestion.
Thanks for the response.
The problem is that I can't change the account. I have tried and it keeps directing me to the my personal account. I only have the one computer.