The best way to start trying to solve this problem is obviously tying to talk with grandma. If this is possible, this will the better way to understand which are her feelings and needs. Try to determine if she really want to go to another place or if she just say ?yes? because she think that she's disturbing the normal behaviour of your family. Take time to analyze this situation and identify the advantages and disadvantages to your grandma to stay or not at home. It's common to see that some people are not able to take the decision by their own.
In these cases, online counseling could be an answer. This kind of professional assistance is meant to solve this, and a lot more, kind of problems. It can give you another perspective, another point of view, of this situation. The usual demands that online counselors receive are people who just want to have a professional point of view over an issue that are concerning them.
Sometimes, you don't have many people to talk about this kind of matters, so online counseling could be an interesting place to do it. This kind of sites also provides information, articles, etc about this and a lot more of other topics.