To pray for someone more diligently: [1]

Save, O Lord, and have mercy on Thy servant(s) ________, [bow][2] 

Deliver him (her, them) from every tribulation, wrath and need [bow], 

From every sickness of soul and body, [bow] 

Forgive him (her, them) every transgression, voluntary and involuntary, [bow] 

Teach them to pray and live according to purpose* [bow]

And do whatever is profitable for our souls. [bow]. 

https://www.orthodox.net/\trebnic/old-believer-to-pray-for-someone-more-diligently.rtf
https://www.orthodox.net/\trebnic/old-believer-to-pray-for-someone-more-diligently.pdf
https://www.orthodox.net/\trebnic/old-believer-to-pray-for-someone-more-diligently.html
https://www.orthodox.net/\trebnic/old-believer-to-pray-for-someone-more-diligently-card.rtf

This document is 
This prayer is taken from the "Old Believer Prayer Book", available from the Church of the Nativity, Erie, PA, with the penultimate line not in the original. 

[1]* This prayer may be easily used in one's personal commemorations in morning or evening prayers. It is usually best to pray for people simply, and not try to mention all of a persons perceived "needs", and especially their perceived faults. God knows all things, and only wishes that we show our love for others by fervently beseeching His mercy for those we love (and ESPECIALLY the ones that we sinful ones do not love as we should, such as our enemies and those we have had some conflicts with). If we keep our prayers simple and intense, we are less likely to judge our brother in our prayer, and we tire less easily, and are more likely to retain the good habit of prayer for others. 

[2] A "Bow", also known as a "poklon" is performed by making the sign of the cross, and simultaneously bowing the head and bending from the waist.