If you check the Register of Swiss Surnames (https://hls-dhs-dss.ch/famn/index.php?lg=e
) you'll find that there are 3 pre-1900 citizenships in Ticino and (less likely for your case of a family with Italian connections) Sumiswald BE ... plus many citizenships after 1899 for Italian immigrants. Carilio is not mentioned. Consequently you also have to consider that Irma and her parents may have lived in Switzerland without ever gaining citizenship.
Where did she pass in 1978 ... the Reggio Emilia region?
So, with your present information, this is looking for the needle in the haystack ... sorry that I cannot be more optimistic.
Best regards Wolf