I thank you for your prompt response. Since you tried your best, and 45 days of absence in a span of 3 months is a bit too much to condone, it stands to reason that her termination was inevitable. One wonders, though, how she could not see it coming or blame someone else (you) for something that was entirely her undoing.
Moreover, you have stated, "Just want to add that this employee was selected at another MNC BPO and since we had such a bad experience with her, I was just honest on the ref check because of which she was denied the job."
She is feeling further aggrieved that you gave her a negative reference, thus she was denied the job in an MNC BPO.
Now, this time you have rightly come to the conclusion that she has not shown her tenure with you because there was no reference check request made to you!
As already suggested by Cite Contribution, you can send her an email letting her know that it was entirely her performance and unauthorized absence which led to her termination. You still thought of her as an ex-colleague and continued to have her in your Friends list, and you are happy that she has joined a good organization which appreciates her performance.
You can then request her to remove the offending comment. You can follow it up after a few days.
Alternatively, after repeated requests, if she does not comply, you can REPORT to Facebook through the report option.
You also have the liberty to UNFRIEND or, better still, BLOCK her ID.
If you find the above inadequate, you can go ahead with other, more severe or vicious actions, like complaining to her current employer that she has not disclosed her 3 months' tenure with your company—where she was absent for half the period—thus effectively working for about a month and a half.
In her expression of jubilation—happiness and triumph—she has placed herself in a vulnerable position, so your action depends entirely on your personal disposition.
However, other than the above, a libel or defamation case may not stand, as there is insufficient ground for that. The comment may appear unpleasant but will not make a good case for libel or defamation.
"I am so happy that people are jealous about my career growth...especially my dear Team lead in my previous organization...Thank you so much Divya Chandarana just because of your good intention...I missed an opportunity.... but got placed in another MNC which you were not able to reach in your 7 years of Corporate career....God is always with the one who is humble at heart and treats others with the love what they have for themselves. At least hereafter don't play with others' life and career which is important just like yours."
Attribution:
https://www.citehr.com/470220-ex-emp...#ixzz2e5zqWTnA
One would still tend to think that it would be best not to feel hurt at such comments and to forgive and forget. After some time, you will appreciate yourself for this.
Warm regards.