A good guess then is that he died between 1888 and 1910, in which case, there may not be a formal death record. You can try contacting the local library in Gayoso, Missouri to see if they have a resource that would help. For instance, they might have an index to obituaries of the local paper, and perhaps you might find an obituary. (This assumes he died around Gayoso, Missouri.) Or they might have cemetery records, in which case, you might find burial information. A last guess is to look for probate records in the Gayoso area. The local courthouse might have an index to probate records, or the local library might have this.