All 5 Uses of

muse
in
The Mill on the Floss

"But surely that is a happiness to have so many tastes,—to enjoy so many beautiful things, when they are within your reach," said Maggie, musingly.†
Chpt 5.3

She mused a little with her eyes downward, and then added, looking at Maggie, "It is very beautiful that you should love Philip; I never thought such a happiness would befall him.†
Chpt 6.3 *

mused = thought -- possibly aloud

"Wouldn't you really like to be a tenth Muse, then, Maggie?" said Philip looking up in her face as we look at a first parting in the clouds that promises us a bright heaven once more.†
Chpt 5.4

The Muses were uncomfortable goddesses, I think,—obliged always to carry rolls and musical instruments about with them.†
Chpt 5.4 *

Definitions:

(1) (muse as in: her musings)
reflect (think) deeply on a subject -- perhaps aloud
(2) (muse as in: She was his muse)
the source of an artist's inspiration - especially a person or mythological goddess

The 9 muses were the daughters of the Greek gods Zeus & Mnemosyne. Each of the muses was thought to inspire and preside over one of the arts.
(3) (meaning too rare to warrant focus)
meaning too rare to warrant focus:

More rarely, muse is used as a synonym for "poet". In Shakespeare's time, muse could be used in the sense of being astonished or puzzled by something strange or unexpected.