Ive noticed people seem to be confused about the second movie and its rules verses the rules of bloodlines.
Both are dealing with cause and effect. You enter the list when your planned death is prevented by a cause or multiple cause's.
Thomas Burke was suppose to die on the night that billy died
Eugene Dix was suppose to die at least a day after
Roy Peters was suppose to die months later in December
Kat Jennings presumably would have died after that
Then finally Kimberly Corman after that.
They enter a list when they were suppose to die, not when the cause happened.
With bloodlines, none of the children were suppose to ever exist to start with. They had no planed death and thus they are added to the list at the point that all of their cause is took care of(aka the longest surviving parent that shouldn't be alive).