What kind of object is pictured in these two Roman fresco wall paintings?

Question

Both are paintings in the same house near Naples. They were excavated from the ashes of the eruption of Mt. Vesuvius.

Apparently, they picture the same kind of object. But what is it?

Answer 1

These images are from the Villa Poppaea, and seem to represent an ornamental torch used in Roman religious rites. The first image is from the base of a full wall fresco shown here representing a view of a sacrificial tripod resting on a column:

The image from the question is a bit distorted, but you can see and read more here, where the item is described as (emphasis mine) a

'Villa di Poppea, Oplontis, room 15, detail from a wall-painting depicting the torch of Apollo and a sacrificial bucranium (bull's skull)'

So it appears this is an ornate torch, probably meant specifically to start sacrificial fires in worship of Apollo. (More about the bucranium here, which can be seen better in the answer by sempaiscuba).

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The second image, from a different room, may represent a similar sacrificial scene. From this article discussing sacrifices:

A third class of unbloody sacrifices consisted of fruit and cakes. The former were mostly offered to the gods as primitiae or tithes of the harvest, and as a sign of gratitude.

The second image seems to represent this type of scene, showing the fruits and cakes waiting to be sacrificed to ensure a good harvest.

Answer 2

The object is a "Torch of Apollo":

As Maurice Owen explains, this was often used (along with other imagery) to indicate a sanctuary dedicated to the god Apollo.