Similar happened to me about a month ago. Bathroom sconces went out. Changed both bulbs. One sconce lit, one didn't. Electrician said it probably tripped the circuit breaker but that wasn't the problem. He had to change something in the sconce. I would say there is something wrong with your lamp. Probably needs to be rewired.

Good thinking, Snidely. The lamp didn't work when plugged into another outlet. But it occurred to me to try another bulb. Eureka! Weird--the first bulb was brand new. But now I know.

Imhappy, your experience did sound like mine, but I lucked out this time.

Thanks!

Oops! Edited to say now I can't turn it off. I guess the switch really is shot.

This is very timely. I'm having the same problem. I think I need to get my lamp rewired. Just put a brand new bulb in it several days ago and it popped. Third bulb to go in a month. It was a very expensive lamp and is probably 40 years old.....my, my, where did the time go. But I love the lamp and don't want to replace it with a cheaper one.

It does sound like the lamp socket/switch piece is worn out. They don't last forever, especially if subject to frequent use. Replacing the lamp socket (switch) isn't too hard, most people can do it.

There are standard sizes, replacement parts can be found at a Home Depot type place or most larger hardware stores. They're cheap, usually less than $5

When you have it open, look around carefully for heat damage. What often happens is the bulb gets so hot that it actually damages the wiring and insulation. People often put larger wattage bulbs in than recommended and if it's incandescent it can damage the fixture.

I like a lot of the old style lamps. They have a character you can't usually buy these days.

A 40 year old lamp that is used daily or very often will usually require a replacement socket. Be aware that some of the older lamp socket collars (pre-1950) are lined with asbestos. Be careful when handling or disposing of such sockets.