Originally Posted by Aunt Bea
My grandmother called a smoked picnic or smoked pork shoulder a callie or caly ham. She always made it as a boiled dinner instead of corned beef and the leftover broth eventually became split pea soup.
The folks at the NY Times say it is short for California.
Q&A - NYTimes.com
Ah Ha! So someone else has heard that name used! Thanks. But I do remember that it definitely wasn't a smoked cut.
From that link you gave:
"The unsmoked version of a picnic shoulder is known as a fresh shoulder-arm picnic. It may be baked or simmered in a liquid." (Or a California-style cut---- which is strange because my parents thought Calif. was on the edge of the earth from where they lived in Missouri!