It doesn't matter whether you are psychic or not, you can't possibly know for certain whether it was a typo or grammatical error. Pointing out that someone made a simple error, whether or not a typo or grammar on an international forum is considered by most to be rude. Making a point of it publicly is completely unnecessary.
I am surprised by failure of your "intuition" to recognize the inappropriateness of many of your public comments and the arrogance that they suggest.
What my statement says to me, is that my mother is determined to move and will do her best to do so.
I hear you. I understand that hope springs eternal. I think your mother's prospects are dim at best, and I suggest your mother should focus her efforts first on finding a job, rather than picking a city in which to look for a job.
This is one of those situations in which 'beggars can't be choosers.' Since the job is likely to be the most limiting factor, start with that. If a job is located, then you can look at the visa issues for yourself and decide if all the other factors you mention are really that important.
I find in my work that people often eliminate perfectly reasonable options by being close-minded. It is almost always an option to stay where you are and there may be good reasons you haven't considered to choose to do so.
Ruth