You may wish to head over to http://www.ccel.org/ccel/schaff/anf01.v.vii.vii.html where St. Ignatius ca. 100 says things like:
"Chapter VII.—Let us stand aloof from such heretics. They abstain from the Eucharist and from prayer,10161016 Theodoret, in quoting this passage, reads προσφοράς, “offering.” because they confess not the Eucharist to be the flesh of our Saviour Jesus Christ, which suffered for our sins, and which the Father, of His goodness, raised up again.
The flesh and blood. Sacrifice. The difference with the different rites is the point of balance between worship and sacrifice.
Ignatius supports Catholic Theology on this point. Others do not. Martyr called it a sacrifice of thanksgiving, IIRC.
If Ignatius contradicts the writer of Hebrews, then it is Ignatius who is wrong.