These prayers in the marriage ritual,  are the responses said by the parties themselves or just the clergy? What role do the bride and groom have here?
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The priest sprinkles the couple with Holy Water.
Then he blesses the bride's ring, saying:

V. Our help is in the Name of the Lord.   V. Adjutorium nostrum in nomine Domini.
R. Who made heaven and earth.   R. Qui fecit caelum et terram.
V. O Lord, hear my prayer.   V. Domine, exaudi orationem meam.
R. And let my cry come unto Thee.   R. Et clamor meus ad te veniat.
V. The Lord be with you.   V. Dominus vobiscuм.
R. And with Thy spirit.   R. Et cuм spiritu tuo.
. Confirm, O God, that which Thou hast wrought in us.   V. Confirma hoc, Deus, qod operatus es in nobis.
R. From Thy holy temple, which is in Jerusalem.   R. A templo sancto tuo quod est in Jerusalem.
V. Lord, have mercy.   V. Kyrie eleison.
R. Christ, have mercy.   R. Christe eleison.
V. Lord, have mercy.   V. Kyrie eleison.
Our Father, etc. (inaudibly).   Pater noster (secreto).
V. And lead us not into temptation.   V. Et ne nos inducas in tentationem.
R. But deliver us from evil.   R. Sed libera nos a malo.
V. Save Thy servants.   V. Salvos fac servos tuos.
R. Who hope in Thee, O my God.   R. Deus meus, sperantes in te.
V. Send them help, O Lord, from Thy holy place.   V. Mitte eis, Domine, auxilium de sancto.
R. And defend them out of Sion.   R. Et de Sion tuere eos.
V. Be unto them, Lord, a tower of strength.   V. Esto eis, Domine, turris fortitudinis. R.: A facie inimici.
R. From the face of the enemy.   V. Domine exaudi orationem meam.
V. O Lord, hear my prayer.   R. Et clamor meus ad te veniat.
R. And let my cry come unto Thee.   R. Et clamor meus ad te veniat.
V. The Lord be with you.   V. Dominus vobiscuм.
R. And with Thy spirit.   R. Et cuм spiritu tuo.