Your Mom should consider having a local attorney assist her with the drafting of the POA. It may be a challenge for you to assist her with her financial responsibilities from California, so your Mom may want to consider having a co-Agent with you of someone who lives in Michigan wherein decisions are made jointly, or your approval is required.
Your Mom should explain the situation to the attorney drafting the POA to insure her needs are met.
You may also want to recommend to your Mom that when she talks to the attorney that in addition to giving you authority to act for her in financial matters that you should also have authority to make decisions regarding her personal needs, thereby avoiding having to get a conservatorship.
Your mother, so long as she has the requisite capacity, should schedule a consult with a local estate planning attorney to devise a plan that will meet her needs. It sounds as though capacity might be a problem, if not, move quickly so that it does not become an issue. As for your California location, it does not preclude you from being your mother's agent, but it may make the process of stepping in to help much more logistically challenging.
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