@Johnwest,
2 other tests you may wish to try. (It may not be a calcite but aragonite-)
So you must take a little piece and smsh it up and then add the acid.
Without doing any detailed min testing, try msshing up a small piece and spray it with ninhydrin you(can get that from a biology supply house) let me know what color shows up.
Otherwise Id suggest someone do a THIN SECTION and a microcopy under polarized light.
It sure looks like a carbonate.