Hi,
The previous suggestions are all right on the money.
I have to ask, has any other work been done on the engine recently?
In addition:
Check for rocker shaft wear (usually more than one valve will be noisy, though), which unfortunately requires remnoving and tearing the whole rocker assembly apart. This is because it's hard to detect any wear or play otherwise. While doing this, be sure to mark and keep rocker arms and all moving parts matched up to their original locations.
If it is the shaft, it's recommended to replace with a hardened one instead of the stock one (Moss sells them, perhaps others do too). New bushings will be needed in all the rockers, if the shaft needs replacing. These need to be honed to size after installation, and this is an opportunity to more accurately set up a true 1.5:1 ratio (stock is usually closer to 1.45:1, although stated as 1.5:1), if you can find someone who knows how to do it. (Greg Solow at The Engine Room in Santa Cruz, Calif. does this, perhaps others do too.)
Another possibilty is valve guide wear. This allows the valve to move sideways and, if bad enough, can make for a lot more noise and difficulty setting the valve lash. This wear often occurs much more rapidly if the valve geometry is off, such as after a camshaft is reground and/or if the head is milled to increase compression. The pushrods should be carefully sized for length to accommodate these other changes. If that wasn't done, misaligned rocker arms can exert too much lateral pressure on the valve stem and very rapidly cause guide wear.
Also check carefully for any obstructions or gunk blocking oil delivery to the rocker assembly, which comes up the rear pedestal and through the rocker shaft.
Other possibilities:
The valve springs are getting old and need replacement.
Valve seat recession due to unleaded gas, this usually shows up as the adjuster reaching the end of its range.
Oh, and if you remove the rocker assembly and mess around with the pushrods in any way, be sure to keep them all sorted in their original locations and be a little cautious lifting them out. Plus, sometimes oil in the lifter cup will form a bit of suction around the bottom end of the pushrod, so that the lifter will come up along with it as you remove the pushrod. Once this happens, the lifter is then trapped within the head and can be a real bugger to get back into it's hole. It can be bad enough that the head has to come off, which means a new head gasket, manifold gaskets, etc., at the very least. (Don't ask me how I know!) So, if you have reason to remove the pushrods, use something like a long, thin screwdriver alongside each pushrod to gently and carefully keep the lifter nicely seated on the camshaft.
Hope this gives you some ideas.