Which type(s) of Irony is present in Desiree’s Baby, and where is it located in the story?

Désirée’s Baby by Kate Chopin
As the day was pleasant, Madame Valmondé drove over to L’Abri to see Désirée
and the baby.
It made her laugh to think of Désirée with a baby. Why, it seemed but yesterday
that Désirée was little more than a baby herself; when Monsieur in riding through the
gateway of Valmondé had found her lying asleep in the shadow of the big stone pillar.
The little one awoke in his arms and began to cry for “Dada.” That was as much as
she could do or say. Some people thought she might have strayed there of her own
accord, for she was of the toddling age. The prevailing belief was that she had been
purposely left by a party of Texans, whose canvas-covered wagon, late in the day, had
crossed the ferry that Coton Maïs kept, just below the plantation. In time Madame
Valmondé abandoned every speculation but the one that Désirée had been sent to her
by a beneficent Providence to be the child of her affection, seeing that she was without
child of the flesh. For the girl grew to be beautiful and gentle, affectionate and
sincere,—the idol of Valmondé.

Which type(s) of Irony is present in Desiree’s Baby, and where is it located in the story?