Is the name for trim along a ceiling spelled crown molding?

Yes, the name for trim along a ceiling spelled crown molding.

NOTE 1: American English the name is spelled Crown Molding.

NOTE 2: British English the name is spelled Crown Moulding.

This molding hides the line where a wall meets the ceiling. Crown molding, whether plain or decorative, adds interest to a room. It comes in plain wood that needs painted or stained, or it can be bought pre-painted or stained. The corners must be mitered, usually at 45-degree cuts -- e.g. cut at an angle to meet the next piece. Here is a video about cutting and installing Crown molding.