Other links that may be helpful for you:
http://delphimagic.blogspot.com.ar/2012/12/red-neuronal-backpropagation.html
(Includes source code)
Coding a Backpropagation neural network with two input neurons, two output and one hidden layer.
The sample provides two sets of data that can train the network and see how accurate learning minimizing the error shown in a graph.
Modifying the program can change the number of times the network trained with test data (epochs)
