Doris mistakenly accused Peter’s son, Steven, of negligently bur

Doris mistakenly accused Peter’s son, Steven, of negligently burning down her barn. Peter believed that his son was guilty of the wrong and that he, Peter, was personally liable for the damage, as Steven was only fifteen years old. Upon demand made by Doris,
Peter paid Doris $2,500 for the damage to her barn. After making this payment, Peter learned that his son had not caused the burning of Doris’s barn and was in no way responsible for its burning. Peter then sued Doris to recover the $2,500 he had paid her. Will he be successful?