The Supreme Court maintains a register (called the "Roll of Practitioners") containing details of all Australian lawyers who have been admitted to practice in Tasmania. It includes all solicitors, barristers, Queen's Counsel and Senior Counsel.
The Roll is in the form of an Excel Spreadsheet. To view the file download, using the link below. To search, use Control + F to bring up a search box.
There are three worksheets available - The first one is for legal practitioners (barristers and solicitors), the second one for Queens' Counsel, and the third for Senior Counsel.
Download: Roll of Practitioners