A sheriff or other officer, for traveling out of his county to execute process in a case of felony and, doing any act in the service thereof for which no other compensation is provided, shall receive therefor, out of the treasury, such compensation as the court from which the process issued may certify to be reasonable. When in such case an officer renders any service for which no specific compensation is provided, the court in which the case may be, may allow therefore what it deems reasonable, and such allowance shall be payable out of the treasury.