Yes, Sue, it is best not to hang her on a nail.
Gibson mandolins of this age are susceptible to cracking from rapid changes in humidity and/or humidity below 30-35%.
The best way to prevent this is to keep your instrument in the case when you are not playing it, especially during the heating season; and to run a room humidifier in the room where you store your instruments. A $40 humidifier from Walgreen's will be sufficient.
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