Frescoes are paintings completed upon walls and ceilings where pigments are mixed with water and applied to wet or damp plaster.
Given that Claudius lived from 10 BC to 54 AD and Nero lived from 37 AD to 68 AD, the time frame for determining famous fresco painters spans 10 BC to 68 AD. On a side note, the earliest frescoes date back to 1500 BC (found in Crete, Greece).
That said, many of the frescoes from this period have been named, but the artists responsible for the works have yet to be named. Therefore, the art itself is well-known, while the artists are not.
Some of the frescoes known to date back to 10 BC are known as:
The Third style, or ornate style, was popular around 20–10 BC. It leaves room for more figurative and colorful decoration, with an overall more ornamental feeling, and often presents great finesse in execution. This style is typically noted as simplistically elegant.
The frescoes of the Third style were completed up until 60 AD.The frescoes of this period
could be called the “tapestry style”. Each rectangle is sparsely covered with fine decorative elements, such as arabesques and miniature figures. If realistic scenes are present, they are depicted as though they were paintings stuck upon the tapestries.
Typical frescoes found dating back to the Third Style are "Villa of Agrippa Postumus in Boscotrecase"(ca. 10 BC), "Casa della Farnesina in Trastevere," Oplontis Caldarium room (unnamed), and Pompeji Casa Dei Vettii Red on Blue.