The non-league player sacked after abusing Bournemouth midfielder Harry Arter on Twitter has said he is ashamed of his actions.
Bournemouth lost a three-goal lead to draw 3-3 with Arsenal in the Premier League on Tuesday.
Hitchin Town player Alfie Barker, 19, later posted: "Big hype just for a disappointment like the nine months leading up to your child's birth."
He told BBC Radio 5 Live: "It's disgusting. I'm totally ashamed."
Arter and his partner Rachel's baby daughter Renee was stillborn in December 2015.
Barker earlier made an apology for his "disgraceful comments" and said he would accept any punishment given to him.