Skandapurana 1.4.26: adhyāyaḥ 28

Nārada said:
As she was going, Girijā saw a radiant companion of her mother,
named Kusumāmodinī, the deity of that mountain.

She too, seeing the mountain's daughter, her mind agitated by affection,
embraced her and said aloud, "Where are you going again?"

And she related to her everything, the reason for her anger at Śaṃkara;
and Girijā spoke again to the deity honored by her mother:

"You are constantly the deity of the king of mountains, O blameless one;
you are everywhere present, and exceedingly affectionate toward me.

Therefore, I shall tell you what you must do now:
if another woman should enter into the presence of Pinākin,

you must inform me, O auspicious one; I shall do what is fitting afterwards."
When she said, "So be it," the goddess departed toward the mountain.

There on that delightful great peak adorned with various wonders,
setting aside ornaments and the like, wearing the bark of trees,

the mountain's daughter performed tapas, protected by her son,
tormented by five fires in summer, and staying in water during the rains.

"Take care that no woman enters here near Hara;
and having seen another woman here, tell me, my son.

I shall immediately thereafter do what is fitting."
Vīraka then said to the goddess, "So be it."

Having received his mother's command, his limbs flooded with joy, his anxiety gone,
the son bowed down to his mother and went to see the Three-eyed One.

Then she spoke to the Elephant-faced One, who bowed and stood before her,
begging with a tearful throat, "Take me also, O Pārvatī!"

"Because of your elephant face, O child, he will surely mock you just as [he mocked] me.
Therefore, come with me; whatever my fate is, yours will be too.

For death is better, my son, than humiliation by wicked ones."
Having spoken thus and taken him along, she departed toward the snowy mountain.

Thus ends the twenty-eighth chapter, entitled "The Description of Pārvatī's Departure for Tapas", in the Kumāreśvaramāhātmya of the Kaumārikākhaṇḍa, in the first Māheśvarakhaṇḍa, in the glorious Skanda Mahāpurāṇa consisting of eighty-one thousand verses.