Hi,
Your green dish is from the 1960s-70s era, was made by the Federal Glass Company and the pattern is called "Celestial". The bottom isn't ground at all, that's just the way it was made in the mold.
Indiana Glass ended up with the old Federal molds and has reproduced this pattern for Tiara, but not in the same color as yours. The Indiana versions are of lesser quality with ripples and bumps in the glass rather than smooth and near optically transparent like Federal's original version.
When Indiana bought out Fostoria Glass they (Indiana) made some items in this pattern, which they (for some odd reason) put a Fostoria mark on, but Fostoria never owned these molds nor did they ever made this pattern.
--- Mike