Hi,
I was also going to originally say in my first reply that it was a tablecloth, but noticed that the motifs were made for a bed, with a defined pillow pattern at the top. This type of lace was usually used for tablecloths, not so much for bedspreads, so I can see the initial reaction some others had.
Although there were other makers, most of these were made by Quaker Lace company, which has been around for about 100 years. The pre WWII era Quaker laces are a better quality then the later ones, and they would not have serged edges. Also, the weaving technique used on yours (seen in your close ups) is not indicative of pre 1940s laces. Yes, I know serging was used since earlier times, but never on delicate lace items as they would have turned under hems or picot edging (as on your doily), or bound rolled edges with picot loops (the most common technique on Quaker laces), or carefully cut edges. Serging just made a lace look cheaply made. After WWII, it was easier and cheaper to make them that way, so as American decorating tastes changed and profits went down, Quaker started using cheaper and faster methods, looser weaves, and eventually even used synthetics in some of their laces.
I have not seen serged edges or that looser weave in any Quaker lace or similar laces made prior to the 1950's. Although lace bedspreads like yours were not the current home fashion in the 1950s and afterward, they still made them, and ladies still bought them, so I am dating it to circa 1950s.
When I was a lace dealer we collectors could immediately tell the old ones from the newer ones just by feeling and seeing that loose weave (as on your spread), and the serged exposed edges. If you see an older Quaker lace cloth you can easily see and feel the difference, and they are also a bit heavier in weight.
Even though it is not antique, and is not the better quality, it is still gorgeous and sought after for decorating in the romantic styles we see so much of now.
I simply love it!
The doily or dresser scarf is machine made, chain stitch, looks like cotton and was pieced/sewn together from the machine loomed sections. It looks like 1940s era, but I cannot be sure.