"To dry those tears" means to comfort and console someone who is crying or upset. It suggests offering support and helping them feel better. Full definition
Getting paid 60 or 70 percent as a self - published author only helps provide me with hundred dollar bills to dry my tears with when I'm crying myself to sleep at night. (expatmadrid.com)
I am sitting on the front porch, red raspberry leaf tea in hand, while letting the sun dry my tear - stained face. (sweetcountryroots.com)
I read this book very quickly stopping only to dry my tears several times. (bookbrowse.com)