Anne, I believe Mystery Trinket Set #47 is 2 different patterns.
https://www.glasstrinketsets.com/Gallery/thumbnails.php?album=50Two tray patterns can be seen, they have the same size and edging, the central starburst and the all over starburst, but more than being just a "variant" tray, the candlesticks are also different, this is not easy to spot from the photos but I have seen the different versions up close. Additionally I think the pots with small roundish finial could be different in each set, the all over starburst tray version having an all over starbust in the base of the pots and the central starburst tray version having plain pot bases, again hard to see in the photos.
Mystery Set #145 has another central starburst tray, exactly the same as #47(a) and the same size and edging as #47(b) I believe this set is correctly shown.
https://www.glasstrinketsets.com/Gallery/thumbnails.php?album=150Mystery Trinket Set #145 shares a ring holder with Mystery Trinket Set #63
https://www.glasstrinketsets.com/Gallery/thumbnails.php?album=66I will try to add some useful photos when I get a chance.