These are a matching pair of 9" diameter Chine de commande plates decorated en grisaille (/encre de chine) with gold and reddish highlights, made for export to the European market. This style of plate was popular during a fairly narrow time period of approximately 1740-1760. 

They depict a scene of a European woman seated in a chair, bathing her feet, being assisted by another individual. Thanks to a very kind individual, I've been able to identify the engraving it was based on: The Toilette - A European Lady, by Claude Duflos, a French engraver. A similar plate and bowl can be seen in 'Chinese Export Porcelain in Private Brazilian Collections' by Jorge Getulio Veiga, and it's also apparently on p 125 of Hervouet's La Porcelaine des Compagnie des Indes a Décor Occidental, though I don't have a copy and can't check myself. 

The rim is decorated with a du Paquier-style/laub und bandelwerk border, with peacocks and nets, as well as a spearhead border. 

These plates may have been former museum pieces based on the mark on the back. This piece was purchased in Ohio, and the Cleveland Museum of Art does use similar accession numbers with a 'CMA' on some pieces (see "Bowl with bats and floral scrolls" on their site for an example.) That said, I can't find it on their online list of deaccessioned items (which only goes back to 1998), so I can't confirm this.

Condition: There is significant fading to the interior scenes on both pieces, as well as to the gilt. Plate 90.5.1a has a chip on the rim with what appears to be a previous attempt at repair, and a couple small ~1/4" or less areas of missing glaze on the back (firing defects). Plate 90.5.1b has a small chip with a ~2" crack leading from it, as well as a 1/4" firing fault on the front (and some other pinpricks). 

Please examine the pictures carefully; they are a part of the condition description. I'm happy to take additional photos or answer any questions.