What did your prayers consist of exactly in this situation?
As this was prayer and a spirit of prayer over an extended period of time, there is no "exactly" ... but I'll try to answer as well as possible.
Were they a plea to God to wrestle with that person's free will such that they would choose rightly?
No.
Were they a plea to God to woo that person such that they might eventually "see the light"?
No, not in the manner that you seem to describe or imply.
Were they a plea to God to order things as they happen—since God does not truly know what will happen until they happen—such that things will fall out favorably, albeit these "falling out of things" dare not impinge upon one's Holy of Holies, that is, their own autonomous free will?
A well-formed question does not build itself upon multiple multiple
assumptions or
veiled accusations, any one of which renders the answer false. When you are willing to form the question fairly that also shall be answered, but in the meantime the answer to that question
as it was asked is also "No."
Perhaps, yours were prayers that the will of God be done and that your prayers be aligned to the will of God? After all, if we do not pray in accordance with the will of God, why is God obliged to even hear such a prayer?
It is written that God
wills that we have a close enough relationship with him that we are confident enough
to ask him to alter his will as regarding circumstance and effects. And yes, we are told that God is willing to answer such a prayer.
Luke 11:10-13 KJV
(10) For every one that asketh receiveth; and he that seeketh findeth; and to him that knocketh it shall be opened.
(11) If a son shall ask bread of any of you that is a father, will he give him a stone? or if he ask a fish, will he for a fish give him a serpent?
(12) Or if he shall ask an egg, will he offer him a scorpion?
(13) If ye then, being evil, know how to give good gifts unto your children: how much more shall your heavenly Father give the Holy Spirit to them that ask him?
In this example, Jesus did not tell us to ask that our will be aligned to find peace and contentment with stones, serpents, and scorpions, but we are told to ask of God. If this applies even to the Holy Spirit, how much more as regarding bread, fish, or an egg?
2 Corinthians 12:8-9 KJV
(8) For this thing I besought the Lord thrice, that it might depart from me.
(9) And he said unto me, My grace is sufficient for thee: for my strength is made perfect in weakness. Most gladly therefore will I rather glory in my infirmities, that the power of Christ may rest upon me.
Paul first asked that his thorn in the flesh be taken from him. God did not chastise him for asking, even though his ultimate answer was that Paul must bear this particular burden.
Genesis 18:32 KJV
(32)
And he said, Oh let not the Lord be angry, and I will speak yet but this once: Peradventure ten shall be found there. And he said, I will not destroy it for ten's sake.
God had already stated his will was to destroy Sodom, yet God was willing to hear Abraham as he petitioned him multiple times to potentially save the city from destruction.
And lest a wrong conclusion be drawn from only these negative examples cited, let's not forget the positive example where Nineveh appealed to God for him to change his will to destroy their city.
James 1:6-7 KJV
(6)
But let him ask in faith, nothing wavering. For he that wavereth is like a wave of the sea driven with the wind and tossed.
(7) For let not that man think that he shall receive any thing of the Lord.
