I don't see how it would have been possible to use a nineteenth Century birth date in the first place. That STILL would have been over a hundred years old when YouTube started in 2005.

 

If you managed it somehow, and they disabled your active channel for an ineligible date of birth, you will have to start over. There is NO option to alter the date provided when the channel was created. They require the birth date of the person creating the channel for policy and, more importantly, legal reasons. The day you were born does not change, and neither can the date you provided to YouTube when the channel was created.