Question: How does Wade have a photo of Francis for his board, if he doesn't know how to find him?
Question: When Deadpool dislocates both of Francis' arms near end of film how comes the villain seemingly cries out in pain? I thought he had made it very clear earlier in the film that he doesn't feel pain any more, of any kind.
Answer: He seems to yelp a little bit, but I just chalked it up to being a combination of him struggling with Deadpool and also being more exasperated than anything else. Plus sure, he may not feel the pain, but he'd still recognize that having his arms broken/dislocated is a very bad thing since it puts him at a disadvantage in the right. So he could just be reacting out of frustration. I'd probably yelp or scream too if I was in that situation even if I didn't feel pain.
Answer: Because it's much easier to find a photo of someone than it is to find the actual person. Law enforcement agencies very often have photographs of wanted criminals on file, even if they're still at large. In addition, it's a pretty common movie trope for a hitman to be given (or otherwise acquire) a picture of his target, then be told to find him/her (which may or may not be based in reality...more likely, it's just a film cheat to give the audience a visual reference and help them follow along).