Hints Among Confusion

Question

The Roman gods hid treasure
In robes of rose and green
A stone lay at the center
And gold was in between
Fetched by a dog named rover
Lee in "Show Me" was seen
Sir, move if you are clever
And tell me what I mean.

The solution is a single English word.

Answer 1

I think this juicy rhyme concerns a

mango

The Roman gods hid treasure

Roman gods hides mango.

In robes of rose and green : A stone lay at the center : And gold was in between,

It's peel is red and green, stone seed in the center and the golden pericarp in between.

Fetched by a dog named rover

Hidden in 'dog named' backwards (fetched) is mango.

Lee in "Show Me" was seen

"Show Me" is the motto of Missouri state abbreviation MO → Ang (Lee) in MO gives mango!

Sir, move if you are clever : And tell me what I mean.

Sir - man, move - go → mango

Title: Hints Among Confusion

An anagram (confusion) of Among gives Mango

Answer 2

Could it also be a

Baby? (A single English word.)

The Roman gods hid treasure

The Roman God Jupiter was only a newborn when he was hidden by his mother Cybele.${}^1$ (She wanted to protect him from being swallowed by his father, Cronos.)
_{${}^1$Although this is Greek Mythology, Jupiter was the Roman name of Zeus and Cybele was the Roman name of Rhea.}

In robes of rose and green

Jupiter was hidden in a cave on Mount Dicte, part of the Lassithi Mountains on the east of the island of Crete, Greece. Parts of the island are green, also where the Red Cretan Tulip grows.

A stone lay at the center

A stone lay${}^2$ at the center of a christening.

Every Christian baby must be baptised; they must undergo a christening. At the center of the word "christening" is sten which can be derived from the word stone (by removing the letter that lays at the center, funnily enough).
_{${}^2$Note that by using the word lay instead of lays, the phrase is in past tense, since a christening only happens once.}

And gold was in between

The baby would be baptised by a priest who would most likely be wearing robes of gold.

Fetched by a dog named rover

A reference to the song Hush, Little Baby via the lyric, "Mama's going to buy you a dog named Rover."

Lee in "Show Me" was seen

There is an actress that goes by the name of Pui Fan Lee. She is part of a children's television series called, "Show Me, Show Me". (In the children's television series, "Teletubbies", there is a character called Po who is also voiced by her.)

Sir, move if you are clever

When babies become cleverer, they begin to crawl and move from one location to another.

And tell me what I mean

Could you mean a baby?

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Title:

Hints Among Confusion

The riddle would be confusing if baby was the answer, and the acronym HAC also stands for Hospital-Acquired Condition, which might relate to giving birth to a newborn in hospital since pregnancy is a medical condition.