The clerk, not the courthouse recorder
Title work for manufactured homes in Kentucky runs through the county clerk's motor vehicle side. That is the same counter that handles car titles and registrations. It is not the property valuation administrator, and it is not the sheriff — those offices handle assessment and tax collection respectively.
Which county matters. Generally you deal with the clerk in the county of the owner's residence or where the home is located; if those differ, call first.
What Form TC 96-182 is
TC 96-182 is Kentucky's Application for Certificate of Title or Registration. The same form is used for a range of transactions — transferring ownership, applying for a duplicate title, adding or removing a lienholder, and correcting owner information — with different sections completed depending on what you are doing.
Because one form covers several transactions, the requirements vary. Notarization, identification, odometer or VIN details and supporting documents depend on which transaction applies to you, and individual clerk offices differ in what they will accept.
What a normal transfer looks like
The seller signs the existing title over to the buyer. Both parties complete the application. Any lien on the title must be released by the lienholder. The clerk processes the transfer, collects fees and applicable usage tax, and the state issues a new title in the buyer's name.
Property taxes for the manufactured home should be settled as part of the deal — Kentucky assesses these homes as real property, so the tax side and the title side are handled by different offices and neither one automatically clears the other.
Where it goes wrong
The three recurring failures are: the person signing is not the owner of record; there is an old lien nobody released; and the title was previously surrendered through Kentucky's conversion process, so no title exists to transfer. Each has a path forward, and each takes longer than a Saturday.