Is there a way to change the owner of an "On Account" balance?

So long story short:

My organization hosted a facility rental for another organization. The order got build on the organization's constituent record. However, that org is associated with another Individual constituent record (the President of the organization). 

The total owed was $400. $200 of that got paid under the organization's record under the correct order. However, a check got mailed later for the other $200, which got put in as an orderless transaction on the Individual record (still not sure how, we had just gotten the Tessitura at this point). To try and correct the problem, our former Finance Manager put the $200 "On Accont" on the individual's record. 

What I need to do is take the $200 off the Individual's record and use it to pay off the $200 balance due on the Organization's facility rental order. Is that possible? If so, how? If not, what are my options to get this cleared?