Wow, that is quite the fade!
This is not a Weber branded kettle, but most likely made by Weber. Could have been sold as a Sears brand.
We have seen these come-up from time to time in the past. Daisy wheels on the bowl with K or L stamped on the vents.
I once had an 18" one of these.
Look at the lid vent …. It has no markings and a flat-head bolt where a rivet would normally be.