The most common and most likely answer to this crossword clue is the 7 letter word PANNIER
I've seen this crossword clue in Financial Times
P
A
N
N
I
E
R
More clues leading to the result PANNIER
- Quiet orphan girl runs carrying basket
- Fellow reportedly carrying girl’s basket
- Orphan found in empty paper bag
- Girl stuffing mole into basket
- Musical stored inside piano roll’s top container?
- Bag taken from here in Naples turned up
- Basket orphan girl found after parking next to river
- This will carry girl from musical adopted by pair
- Basket girl found in seaside attraction
- Bag lady in dock
Buddy explains!

The straight part
We know that "bag" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case bag = pannier.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does PANNIER mean?
PANNIER noun- A large basket or bag fastened, usually in pairs, to the back of a bicycle or pack animal, or carried in pairs over the shoulders.
- A decorative basket for the display of flowers or fruits.
- One of a pair of hoops used to expand the volume of a woman's skirt to either side.
- A breadbasket.
- A piece of basketwork for protecting archers, or, filled with gravel or sand, for forming and protecting embankments, etc.