Answer

In Jain tradition, this kind of episode is generally treated as a kathā or teaching story, not as something that can be verified as a historical fact in the modern sense.

Explanation

The details you mentioned — a mother attaining samādhi, becoming Lalitāṅgā Deva in heaven, and the son later reaching the 16th heaven, Achyuta, to worship her — sound like a traditional Jain narrative. Such stories are often meant to teach:

• the power of right conduct and detachment,
• the spiritual merit of a pure death,
• and the workings of karma and heavenly rebirth.

But whether it is a “real story” depends on what you mean by real:

• Real as a Jain traditional story: yes, it may be.
• Real as a historically proven event: that is usually not possible to confirm.

Spiritual Understanding

In Jain Dharma, such stories are valued because they inspire vairāgya, piety, and faith in the law of karma. Their main purpose is often spiritual guidance rather than historical record.

Takeaway

So, it is best understood as a Jain traditional story unless you can trace it to a specific scripture or authenticated text.