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that's normal.
when they first start they lay oh just wherever.
once they start to thing about being broody (IF they do) they'll organize a nest and lay in it. they won't set until they have a fair number of eggs accumulated, so nest or no, if you pull the eggs they generally won't try to brood.
expect to finds eggs all over for a while. you can provide a nest box if you like, she may or may not use it, or she might use it later. if she does, at least you'll know where the eggs are.
since you don't have a drake, pull the eggs each day.
you can add a golf ball or other fake egg or two to the nest box to encourage her to lay there. if that doesn't work, just mark one of her eggs and leave it out. eventually you'll have to replace it because it will spoil, but it helps them to understand where eggs go.
fall start of laying does not always happen, but it's not odd.