My daughter and I are flying into Frankfurt and would like to get to Rothenberg ODT
We do not wish to take the train we wish to have private transportation. Any help in this matter is greatly appreciated.

Not really an option. A taxi would cost you more than 300 € due to the distance. I'd rather spend that money on something else.

And by the way, the name is Rothenburg, not Rothenberg.

why the concern about trains?

three hours by train, 4 hours by bus.

http://www.rome2rio.com/s/Frankfurt-...-ob-der-Tauber

looks easy and German Trains are clean and nice

Thank you for all replies. Yes I do know it is Rothenburg- guess I did not proofread.
We do not wish to take the train and deal with our luggage after an overnight flight.
Age is the factor. I have found several companies that offer such service and we have used this service in other countries. Thank you.

Repipg,
I googled private transportation from Frankfurt to Rothenburg and several companies popped up. Many do tours, so could probably add you on if they are not full. I have not used any, so can't recommend, but something should work out for you.

makes sense, does your hotel in Rothenburg have an idea?

HOpe you find something good. Taxis aren't the only way to do this, there are private drivers with better prices for long journeys like that. Some people really couldn't handle the train, I know my mother couldn't, it isn't that unheard of.

These services offer transfers with driver for around 310 Euros:

http://citycar-airport.de/buchen/
http://www.german-transfer.de/index.php?lang=en

It appears that the OP has been able to find something reasonable.