I have since done another, more careful search, and I will share what I have found:
|LED Vintage Filament Bulb, ST19 Edison Style, 4W to Replace 40W Incandescent Bulb, Super Warm White. I love this one, but tragically it is longer than our light fixture shades.|
|LED Filament Bulb,VCE® LED Edison Bulb 4W to Replace Incandescent 40W Bulb,Soft White 2700K-6 PACK|
|Leadleds E27 LED Filament Light Bulb Lamp Nostalgic Edison Style E27 4W to Replace 40W Incandescent Bulb Soft White 360° Beam Angle|
Now, I included the links above for the bulbs that were specifically advertised to be based on historic style, but what I actually ordered was bulbs that looked nearly the same but also came in 60-watt equivalent bulbs, which is what Jeff wanted. Also, this bulb had a lot of excellent reviews.
|AriusTek A19 4W LED Filament Light Bulb Soft White 2700K, 40-watt Equivalent, 10 Pack|
Update later: They look great! Much better than the coiled compact fluorescents that were in there.