A way of Their Own

[Mher]

Friends,

Please, paraphrase the underlined part. This is Poe again. https://poestories.com/read/systemoftarr

"Assuredly," he said — "we could not do at all without the women; they are the best lunatic nurses in the world;
they have a way of their own, you know; their bright eyes have a marvellous effect; — something like the
fascination of the snake, you know."

I guess the speaker implies that women have something special or unique that differentiates them from men.

[Raymott]

Yes, that what it means.

[Tdol]

In a specialised context.