Daughters in general don't have an easy time in the comic. In the show, Carol kills a couple of ill characters to protect her friends from a potential infection. But in the comic, it's not the flu they contend with -- it's a serial killer. His first victims? Twin girls, whom he decapitates and leaves for their father to find. The heads then reanimate and start gnawing toward their dad like hardcore Castlevania enemies.
They reused this as a Doublemint ad in hell.
The father was Hershel the farmer, who actually gets off easy in the show. Before this moment in the comics, he had to watch yet another daughter get torn apart by zombies in front of him. Yes, in The Walking Dead books, "dads watching their girls get dismembered" is a running gag.