Newly planted daffodils tend to bloom about 2 weeks late their first year. The reason is that they are late in making roots and this delays them putting up leaves and flowers. Even if your new bulbs are the same cultivar as the ones that have been in the ground for awhile, they will flower later the first year. In succeeding years, they should flower at the same time if they truly are the same...and planted in the same location.
But you might have a different cultivar. To me, it looks and sounds like it could be Golden Spur, a parent of February Gold. I grow this one and it is very prolific and increases quickly. It is an old one that is in many older gardens in my area of NC.
Trumpet Daffodil (Narcissus 'Golden Spur')
