This is an update to a previous post about Lise Aagaard's BeadLiner, which doesn't seem to be available any longer.
Lapidary Journal published an article by Susan Silvy in June 2001 titled "Silver Core Lampworked Bead". I'm not sure if this is the article I remember reading (I don't remember that particular magazine cover) but I suspect it is about how to do this manually: http://www.lapidaryjournal.com/archive/jun01toc.cfm [Click on BeadLiner in the left column, then on the top left black square, then on the link in the word "here" to the right of the big missing picture.]
Mid-Atlantic Glass Beadmakers have a brief description of capping and lining a bead in their April 2004 Meeting Minutes: http://www.sgb-midatlantic.org/minutes/minutes_Apr_2004.htm [Scroll down to "Afternoon DEMOS"]
And finally, there is an archived copy of Lise Aagaard's BeadLiner instructions in the WayBack Machine (unfortunately without pictures): http://web.archive.org/web/20031005204558/www.liseaagaard.com/index.asp
For the curious, I'm also posting a picture of my BeadLiner and the "curving tool" mentioned in the above instructions:
(The ruler goes with the top picture, not the bottom one!)
I found the tool to be very persnickety about the size of tubing (diameter and wall thickness), but other than that it works well. Most of my beads were made on a much smaller mandrel, so it takes some time with a bead reamer to get them ready for coring. Learning to do it by hand would probably be more flexible, but I seem to remember the article warning that you should be prepared to break a few beads in the process....
Jeanne, hope this all helps :-)