Yes, that's normal for a hen that is not broody. Has she gone broody before?
A hen normally will lay in the same nest. You should be collecting the eggs daily. If you hope for her to go broody (as she has in the past), place them pointy end down in an egg carton with an edge propped up with a pencil. Mark in pencil the date you gathered the egg. At 1 week of age, remove from the hatching carton as that egg should be used rather than hatched since fertilization wanes begin 1 week after being laid.
You can leave a couple marked DUD in the nest to encourage her to sit, but you can't force broodiness on a hen. Most commercially raised breeds simply won't brood as it has been selected out of them as the industry favors egg production, not broodiness.
Hopefully she'll go broody. If she does, you'll have fresh eggs to place under her, after she has settled for a full 2 days in a Zen-like trance, never leaving the nest except for 20 minutes or so to poo, eat, and drink.
Good luck.
LofMc