Posting newspaper articles on Internet

Update from today 

 To Whom It May Concern,

We are writing to follow up on our emailed letter dated 5/4 regarding posts on your website. Said letter is attached hereto for your convenience. Please review and respond as soon as possible. Thank you

 

 I just received this lawyer letter requesting that I remove a posting of a newspaper article from 2014

Monsey mother loses custody battle after leaving Hasidic community which was published in the Rockland County Times. 

I have no problem deleting a post with false information but this is expressed as

Our client simply wishes to put this incident behind them and move on with their lives. While it is important that information be archived, surely one must not be punished in perpetuity? It is no secret that the Internet and technology have made it increasingly difficult for anyone to put even the smallest of mistakes firmly behind them and move on. Therefore, we would like to request that the article in question be removed from your website. Altematively, we are open to compromise aחangement such as de-indexing the article or, perhaps, removing our client's name from the article.

I would like to hear my reader's comment as to what is the best way to respond to this.