Get package of 5/32 and another 3/16 balls and compare them to what you have. These are the most common sizes. I hate working on old Raleigh bicycles as nothing is the same as other bikes. There are other sizes but these 2 packages of bearings should not cost a lot and you might get lucky. The headset replacement idea won't work if it has an older Raleigh fork as they had a different thread pattern than other bikes and new headset threaded parts won't fit. You can force on the new headset with a pipe wrench, but you will need a lot of top bearing races as they become stripped as you force them on and need another and another until it gets adjusted correctly. The fork also very likely will just get stripped and ruined so this is a last resort. You can't get this forced arrangement apart without a pipe wrench. I have a lot of junk and in the past I just threw away the Raleigh fork, gooseneck and bars and replaced them with standard stuff that you can get anywhere. It usually doesn't work as well as the original though. Older, Schwinn, French, Italian and Eastern Soviet era bicycle also had a lot of non standard parts.