Au contraire, mon vieux Bee-Dub. The first "overalls" were made by Levi Strauss et al. in canvas/denim and were held up by braces (suspenders). In the late 19th/early 20th Century the "bib and braces" work clothing you refer to came about. "Overalls" probably date to the 17th/18th Century as protective clothing for slaves.

Around 1870 the US Army issued "overalls" to cavalry units so that troopers cleaning out the stables wouldn't get their wool uniforms all nasty dirty. These were made of tan cotton and were found so comfortable, especially in hot climates (e.g., the American West, Florida) that other units began to use them instead of their good old woolies. Eventually, cotton replaces wool as the material of choice for uniforms except for cold weather uniforms and certain dress uniforms.

"Overalls" and "jeans" and "denims" and "coveralls" have been pretty much synonymous throughout their lifetime.

I'm more than a pretty face, you know.