Information from the front of the certificate:
Joseph A. Joslin died June 21, 1919 at Plymouth, Indiana. He was 86 years old at the time of his death. Cause of death was Chronic Colonietis and Senility. It was signed by L. D. Eley, M.D. He was buried June 23, 1919 in the Bremen Cemetery by J. L. Bunnell, Undertaker. The record was filed on June 23, 1919. Certificate No. 1662 recorded in Book CH-30 Page 113.Additional information typed on the back by the Clerk
Date of Birth - Sept. 11, no year given in Ohio==+====+==
No father listed
Mother - Abigail Goodrich
So, here we have it, finally! Something that definitely connects him directly with his parents, though only his mother's name is given. At least it is something!
Joseph's obituary, published on June 26, 1919 in The Weekly Republican, Plymouth, Indiana does not give the names of his parents but does say that he was born in Delaware County, Ohio:
Joseph J. Joslin, aged 86 years, died at the home of his daughter, Mrs. J.W. Burger, 220 N. Walnut street, this city, at 4:20 Saturday morning after a week's illness. Mr. Joslin was born in Delaware county, Ohio but for several years has lived on a farm near Lapaz. He is survived by four children, Mrs. J.W. Burger of Plymouth; Mrs. Seymour Kanaar, of Lowell, Ind.; Mrs. Silas Wener of Bremen, and Delbert Joslin who lives on the old homestead near Lapaz. The funeral was held in Lapaz Monday afternoon, at 1:30, and burial was in the Bremen cemetery.His obituary was also published in the Plymouth Weekly Democrat on June 26, 1919:
James [sic] J. Joslyn died Saturday morning at 4:20 o'clock at the home of J. W. Burger, corner of Walnut and Washington streets, aged over eighty years. He came here from Lapaz and was making his home with the family and was the father of Mrs. Burger. He had been sick for more than a week. The funeral was held at Lapaz Monday at 1:30 p.m. and the body was taken to Bremen for burial.It's odd that in most other records I've found for Joseph his middle initial is shown as "A" and not "J" as in the two obituaries.