We are truly sorry to hear about the health struggles of your father-in-law and the emotional strain on your wife. Let's first address the most important part of prayer, that it is only by the name of Jesus Christ that we can approach God. In John 14:6 (WEB), Jesus said I am the way, the truth, and the life. No one comes to the Father, except through me."
In times of distress, it's crucial to remember that God is our ultimate healer and comforter. As it is written in Psalm 147:3 (WEB), He heals the broken in heart, and binds up their wounds. Let's pray together for your father-in-law's healing and for God's peace to envelop your wife and your family.
As children of God we should be careful to make sure that we are obeying God in all things. Let each of you be content with your wife and do not seek separation, but if not, remain unmarried. But if separated do not remarry. (1 Cor 7:10 WEB)
Heavenly Father, in the name of Jesus Christ, we come to You with heavy hearts, lifting up to you the father-in-law of this concerned individual. Lord, You know him by name, and You know the struggles he is facing with cancer in his lungs. We pray for Your healing touch upon his body, that You would restore his health and strength. We ask that You guide the doctors and nurses, giving them wisdom and skill as they care for him in the ICU.
Father, we also lift up his daughter, the wife who is overwhelmed with worry. Lord, grant her Your peace that surpasses all understanding. Comfort her heart and calm her fears, reminding her that You are always in control. Help her to trust in You and to cast all her anxieties on You, knowing that You care for her and her family. (1 Peter 5:7 (WEB)
Lord, be with this family during this difficult time. Draw them closer to You and to each other. Strengthen their faith and help them to endure this trial with patience and hope.
We also pray for their situation being far from a loved one. Give wisdom for decisions that need to be made and reassure them of your love and support. (Romans 8:26 WEB Likewise the Spirit also helps our weaknesses, for we don’t know how to pray as we ought. But the Spirit himself makes intercession for us with groanings which can’t be uttered.)
In Jesus Christ's name, we pray for healing, comfort, and strength for this family. Amen.
In this time of need, cling to God's promises and trust in His unfailing love. Remember that He is close to the brokenhearted and saves those who are crushed in spirit. (Psalm 34:18 (WEB) Yahweh is near to those who have a broken heart, and saves those who have a crushed spirit.)
May you and your wife find solace in the knowledge that your family is lifted up in prayer, and that God's steadfast love surrounds you always. Further, we encourage you to look to God's Word for comfort and strength.