Without knowing more details and examining your mother, one should not answer your question with a simple "no." As with any disorder and symptom, one should think this out more carefully.
Although it is not likely that she has ALS with symptoms of a frozen shoulder, one cannot rule it out. Symptoms of ALS varies widely. Usually, it starts with weakness and/or - perhaps - cramping of one limb/side and segmental progression; however, I have seen too many different types of presentation and progression of this disease to simply peg it to one pattern.
More recently, epidemiological studies report that ALS is familial in about 5% of cases, and about 20-25% of this "5%" is via SOD1 mutation. Thus, the chances of her having a familial form of ALS is relatively low.
I feel that your worries are understandable. After all, ALS is a grave diagnosis and, from what I have seen, many good neurologists have occasionally missed this diagnosis. *If your mother is worried*, she should see a neurologist who can do a good examination of her and may perform an electrodiagnostic study among other studies. Considering that physicians who specialize in and see more of this disorder have "more practice," it may be preferrable for her to see a neurologist who is associated with an ALSA or MDA clinic.
One should stress that, even though an EMG in early motor neuron disease can be normal, it would not be appropriate for her to live in fear of this disease - for which there is no viable cure at this time (riluzole slows the progression of ALS to a minor degree, and other measures are, thus far, more or less supportive).
Best wishes to yourself and your family.
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