There was once a NASA educational service called SPACELINK at Marshall Space Flight Center. One of its products was TLEs for Shuttle missions...
NASA's SPACELINK carries shuttle elements, both during a flight
and prior to it. They also have a file of elements for the more
visual satellites.
(emphasis mine)
Source
SPACELINK offered its info up via telnet and ftp...or dialup..
NASA SPACELINK
SpaceLink is an online service located at Marshall Space Flight Center
in Huntsville, Alabama. The system is specifically designed for
teachers. The data base is arranged to provide easy access to current
and historical information on NASA aeronautics, space research, and
technology transfer information. Also included are suggested classroom
activities that incorporate information on NASA projects to teach a
number of scientific principles. Unlike bulletin board systems, NASA
Spacelink does not provide for interaction between callers. However it
does allow teachers and other callers to leave questions and comments
for NASA which may be answered by regular mail. Messages are answered
electronically, even to acknowledge requests which will be fulfilled by
mail. Messages are generally handled the next working day except during
missions when turnaround times increase. The mail system is closed-loop
between the user and NASA.
SpaceLink also offers downloadable shareware and public domain programs
useful for science educators as well as space graphics and GIF images
from NASA's planetary probes and the Hubble Telescope.
You can access SpaceLink via
telnet://spacelink.msfc.nasa.gov
ftp://spacelink.msfc.nasa.gov
Or you can dial in at (205)-895-0028 (300/1200/2400/9600(V.32) baud, 8
bits, no parity, 1 stop bit).
Source
As part of the general destruction of NASA's once useful public online presence, SPACELINK was decommissioned and merged into nasa.gov
NASA Spacelink has Moved
NASA Spacelink and other information
providers across NASA are moving content into the NASA home page. The
NASA home page is now the best place to find the type of content you
have come to expect from Spacelink. The Spacelink team looks forward
to serving you through NASA's premier Web site.
Source
For a cane-waving aside, I used to get the TLEs over ftp and use them in the DOS program STSPLUS (which can still be made to work using DosBox or similar). There is a nice tribute to and information about STSPLUS on CelesTrak here