Are there any bright spots on the element when it’s on? About every 10-15 years, the bottom element in Mom’s oven would develop a bright spot and eventually it would become an extremely bright spot and fail with a shower of sparks.
As t-bonham said, they’re usually very easy to change - it may take you longer to find and turn off the oven’s circuit breaker (or drag the range out to pull the plug) and find the appropriate screwdriver than to remove two screws holding the element to the oven’s back wall, and the two terminal screws on the element itself. Somewhere between now and 1970, there was a move to plug-in elements that are even easier to change. Be gentle with the new piece - if you crack the internal ceramic and cause a hot spot, you can lose a few years’ lifespan.
AFAIK, Mom’s oven broiler element is 50 years old and has never been replaced. If your oven turns on the broiler during baking, it’s probably at half-power (120 volts instead of 240) so it’s just loafing along, so to speak.