Death and birth certs were not issued in Ohio until 1908 and Lucas County did not record births or deaths until 1867. Marriages were first recorded in 1835 as were estates.
However, researching an estate can be difficult because you usually don't know when the will was written and when the estate was filed.
The Lucas County Probate Court has the above information in their archives. Certified copies are $5 each but I don't think they will search anything for you. You can ask, though, by writing them at: Probate Court Lucas County Courthouse 700 Adams Street Toledo, OH 43624