I don't know it for a fact but I suspect the ladybugs love dill because there are a lot of pest category bugs there. Better find out for sure before you bring home something you wish you hadn't.
There is another type of plant around here, not sure what exactly, some odd kind of azalea or camelia and the ladybugs love to lay their cocoons on it. In the spring, the plants are crawling with ladybug larvae, they look like black-and-orange alligator bugs!