pull through

verb

To come through pain and trouble through perseverance.
“There was once a poor, very poor widow, who had an only son. She pulled through with the boy till he was confirmed; but then she told him that she could not feed him any longer; he would have to go out and earn his own bread.”
“Dr. Gilman's race horse was bad last week; fortunately Mr. Verney, the District Veterinary Surgeon, succeeded in pulling him through.”
To assist someone through difficulties, injury, pain, etc.
“"Dr. Van-Herne is confident of pulling Godfrey through, isn't he?"”
To clean the barrel of a firearm using a pull through.