You are correct, my friend.  They did sacrifice certain birds in the Old Testament.  In fact, when Jesus was born, Luke 2:24 points out that Mary and Joseph offered two turtledoves or pigeons in the temple.  According to passages like Leviticus 5, what can we deduce was probably true of the couple that raised Jesus?

-They hated birds-

-Birds were for people who couldn’t afford sheep and oxen-

-They were perfect, ergo doves-

-They wanted to mount up with wings as eagles-