Sofia Laine had claimed she worked as a nanny for Vanessa and Kobe for nearly 20 years and said she was owed $200,000 ... computed at a rate of $96 an hour.

She also claimed Kobe promised to take care of her for the rest of her life. She says after Kobe died, Vanessa kicked her out of the home Kobe had allegedly bought for her.

Vanessa called the lawsuit "frivolous, disgraceful and unimaginably hurtful." She went on ... "My husband never promised my mother anything, and he would be so disappointed in her behavior and lack of empathy."

As for getting money for working as a nanny, Vanessa said, "I have supported her for nearly 20 years, and was never my or Kobe's personal assistant, nor was she a nanny."

Vanessa went on ... "In reality, she only occasionally babysat my older girls when they were toddlers," adding, "As of ten years ago, our kids were full-time students and athletes and I didn't have another child until 2016."