Gordon Ralph said "his girls" Valerie (50) and Patricia (35) died of cancer, and Karen died as a baby of meningitis.
He visits the grave site almost every day with his only surviving daughter, Carolyn Tucker, who is battling breast cancer.
Mr Ralph said before Patricia died, she gave him three porcelain angels to place on her and her already deceased sisters' graves. And true to his word, he attempted to make sure they would remain on his daughters' graves by cementing them to the plot.
Mr Ralph and Mrs Tucker returned from a holiday last week to find two of the angels had been taken.
The theft has left Mr Ralph feeling extremely angry, and Mrs Tucker said the situation was not helped by the recent death of her mother Patricia (senior).
"[The angels] were put there for a purpose," Mr Ralph said.
"They were put there in memory of my daughters - not to grace someone else's bedroom table.
"All three of my daughters are angels. That's why I put them there. I go to so much trouble to keep the grave nice ... "
Mrs Tucker said she arrived home from work recently to find her father sitting in the dark, sobbing.
"Do these people know the hurt they have caused? You would think human nature is better than that. It's a horrible thing to do.
"Those angels didn't mean anything to anyone else, but they meant the world to us.
"What gets put in a cemetery should stay there," she said.
Mr Ralph and Mrs Tucker hoped the culprit's conscience would get the better of them, and that they would return the angels.
