Is it true that the Heart is the only organ which do not need nerve input from the brain?

Some one threw this question to me and other people. Which is the only organ in our body which does not need an input from the brain? I raked my brain for an answer but I could not find anything. Finally she said.

The Heart....have not you heard of the purkinje cells in the heart? Yes I said but.... But nothing she said.. It appears that my knowlege in heart physiology is less than I thought.

Please. What do you think. is she correct? In my humble opinion I think she is not.

What she was trying to say, if I fully understood her was this. If the heart is cut out of the body and artificially given food and oxigen etc etc. it will keep pumping although it has been disconnected from the brain. She was so adamant and so sure that we did not dare to confront her