Recent studies have reported biases in machine learning image classifiers, especially against particular demographic groups. Counterfactual examples for an input---perturbations that change specific features but not others---have been shown to be useful for evaluating explainability and fairness of machine learning models. However, generating counterfactual examples for images is non-trivial due to the underlying causal structure governing the various features of an image. To be meaningful, generated perturbations need to satisfy constraints implied by the causal model. We present a method for generating counterfactuals by incorporating a known causal graph structure in a conditional variant of Adversarially Learned Inference (ALI). The proposed approach learns causal relationships between the specified attributes of an image and generates counterfactuals in accordance with these relationships. On Morpho-MNIST and CelebA datasets, the method generates counterfactuals that can change specified attributes and their causal descendants while keeping other attributes constant. As an application, we apply the generated counterfactuals from CelebA images to evaluate fairness biases in a classifier that predicts attractiveness of a face.