Around here it's the red-winged black bird.
There is no such thing as a "red breasted bluebird".
There is no such bird as you described.
White breasted nuthatches nest in late Spring.
a red breast is a breast that is irritated
Robin.
robin
The rose-breasted grosbeak.
Robins (or should I saw the red-breasted thrush NA) Sparrow Starlings.
Rose breasted grosbeak
A white-breasted Nuthatch might be the bird you're looking for.
The bird egg you are concerned about is a red breasted nutchtcher.Google it if you do not believe me.