One year ago I had chimney jacked back into place using a pier device produced by Atlas Systems. Try a web search on them. Basically "L" shaped brackets are mounted against the chimney and under the footing. A hydraulic cylinder is attached to the bracket and pipe is forced into the ground until a solid strata is reached. When one bracket can lift the whole chimney, then the process is repeated with a second bracket. When they are done the weight of the chimney is divided evenly. It cost me about $2700. Thirty feet of pipe were required in my case to reach a solid layer. Atlas products are installed by independent contractors. The main office can refer you to ones in your area.