I purchased two Dogwood tree/shrubs a few years ago and misplaced the label, but do have these clues:
-Blooms are clusters of small, white flowers
-Fruit is very dark purple and small
-I typed "Pagoda Dogwood" in my online plant journal, and I am normally pretty careful, but it may have gotten mixed up as part of my wish list
-I asked the owner of the garden center if they keep track of purchases (some do), and she said it would probably be Red Osier Dogwood or Cardinal Dogwood if purchased from her store.
-I do not want a large tree for this space, and don't think I would have purchased one that gets very big, but right now it is about six feet so I want to make sure before these get more difficult to transplant.
Thank you so much; I really, really appreciate the help!

Possibly this: Tatarian Dogwood (Cornus alba 'Sibirica')

I think it's some form of cornus sericea. It's a shrub, growing to about 8ftx8ft

Cornus can be hard pruned back to the ground in early Spring. That year's growth will produce brightly coloured stems for the next winter.

kniphofia said:Cornus can be hard pruned back to the ground in early Spring. That year's growth will produce brightly coloured stems for the next winter.

Not all Cornus produce brightly coloured stems.
Cornus alba sibirica does and can be pruned hard in the spring.

However there are many other Cornus sp that would be ruined doing this .
eg Cornus capitata, Cornus contraversa, Cornus kousa, Cornus florida etc.

The Cornus sericea/alba/sanguinea complex is very hard to pick apart. It could be any one of them.

Agree that it is one of the shrubby dogwoods, likely one that the nursery sells and mentioned in initial post. The mature fruit color is often a decent way to at least eliminate what it is NOT. Dark fruit means it isn't one of the white/light color fruit species.

In addition to Silversurfer's admonishment, I'd add that cutting back hard in early spring is a good guarantee to never have flowers or fruit. Pruning out some taller stems makes some sense, but I'd wait to do that till after flowering so you at least have that enjoyment - as well as value to pollinating insects.

Unless you just want a foliage plant...

Silversurfer said:

Not all Cornus produce brightly coloured stems.
Cornus alba sibirica does and can be pruned hard in the spring.

However there are many other Cornus sp that would be ruined doing this .
eg Cornus capitata, Cornus contraversa, Cornus kousa, Cornus florida etc.

Yes perhaps I didn't make it clear that coppicing only applies to the Cornus group including sericea, alba and sanguinia. It's difficult to give advice without knowing what the Cornus in question actually is.