Iclark shared a fairly good link on managing gout. Do you know why everyone is asking which brand of layer feed you are using? Well, there's a good reason for it. Diet can play a key role in managing gout. Some brands are higher in copper, lower in phosphorous, lower in vitamin a, and some feed stores sell older feed, so the nutrients are depleted, while there are a couple brands that don't seem to live up the the nutrients stated on the label, and people tend to have trouble with them. That is why everyone wants to know which layer feed you are using, so they can look up the ratios. Lots of clean, fresh water is key too. Most gout, not all though is caused by kidney problems.
You are mentioning a hen that's in distress too? This is why everyone wants to know your set up, their living conditions, etc. Living conditions can play a key role in overall health of the flock. In addition to living conditions, the area you live in will have its own problems, and advantages. No one wants your address, but there is a huge difference between coop management in New York, and coop management in Central Florida where I live. How often you inspect your chickens, and treat your coop for mites/lice, when, and how you worm them, how often, and how many treats they get are all important information in assessing the best route to go.