the issue is occuring when it goes into the database, so strip apostrophes on storing to the database, this way the data sent to Authorize.net will not be effected.
Your friends over here at WebAssist! These Dreamweaver extensions will assist you in building unlimited, custom websites.
These out-of-the-box solutions provide you proven, tested applications that can be up and running now. Build a store, a gallery, or a web-based email solution.