Mid century...likely 1960's...maybe as early as 1955.
Can't tell you a thing about the wood or the quality from the blurry pictures.

Have you checked the outside as well as the inside of drawers for a stamp or label? I have a mystery china cabinet made by the United Brotherhood of Carpenters which has been a fun project for research. It has a stamp on the outside of the drawer that's difficult to see let alone read. I am positive the piece is US made but that's it. So far.

Google Broyhill. I was browsing Craig's List and came upon a design like my end table. Broyhill uses a fabric patch to mark its case goods and apparently the one on my table had fallen off over the years. Likely there are other furniture makers using paper and cloth labels that don't stay put too.

The design of your chest resembles my American by Martinsville tall chest with the division between upper and lower. Mine has picture frame molding around both areas with a wide board separating the two that's convex but similar effect. On ebay I found a seller of the bedside tables that seemed to be positive that design was made in 1956 as the previous owners were married and bought the set that year. The solid base is more likely found in '50s pieces and the pointy leg Danish Modern Bassett and Broyhill pieces I have were designed a few years later in 1960-62.

Sorry my photos are not the best... Working off my phone here. I lost both Mom and Dad 20 days apart. I am stumped as to what to do with the bedroom set that she loved. I want it to go to someone who can restore it and love it as she did. I know it is in tough shape. It has moved from New England to Florida and back again.

i did look inside and all around all of the drawers. The only marking is the stenciling on the back. It did have a huge mirror with the long dresser at one point.

Thank you for steering me to Broyhill. I saw many that were so close. This is so large, heavy and solid.

It does look like bleached mahogany. I can say that because of the last close-up.

Casey