Terry,
If you wish to steam the engine in a public place then yes it should be tested and in fact will have to be tested to get insurance – a desirable thing for both yourself and anyone around you! If you just intend steaming it in your backyard without any one else around then no you don't have to have it tested, it's your own risk!
To get it tested and certificated you have two routes, a commercial boiler inspector, a member of the Independent Boiler Inspector's Association would be a good one to choose, could cost you between £100 and £200. The other route is to join a model engineering society, they usually do boiler tests 'free' as part of the member service. It is important to note the two routes are not interchangeable, ie you can't have a 10 year hydraulic commercial certificate combined with an annual cold exam and steam test from a MES.
Hopefully you will have some previous evidence of test in the form of old expired certificates that came with the engine? You should at least have a certificate for a 2 X WP hydraulic shell test when the boiler was built? If not it is possible either a commercial or club inspector will require the boiler cladding to be removed so a full examination can be carried out – more likely so in your case as the boiler is clearly over 10 years old (you stated it was on the cover of ME in 1976).
Any steam event organiser will want to see evidence of current test certificates and insurance before you will be permitted to steam it if you want to attend a rally or show.
Insurance is available from several sources but the best option for you would probably be Walker Midgley, you can pick and choose cover with public liability (boiler insurance), RTA cover and even theft or damage, check their web site for costs.
Last comment I would make is if you have never steamed an engine before it's a good idea to find someone experienced who can show you the way to do it, as someone suggested in your other post joining a club is a good way to find someone and a source for boiler testing. It will keep you safe and prevent damaging the engine / boiler. It's not rocket science but with little knowledge it's easy to get things wrong!
Enjoy it and have fun.
Paul.