you could do this via ImageMagick's convert, montage or mogrify command w/ the -draw option but it'd possibly be a bit of work.
A workflow something like:
In LR, setup the print and print to file (ie. father-100.jpg)
use Imagemagick (you'll probably have to install it the package too) to composite the filename into the image ala:
http://www.imagemagick.org/Usage/annotating/then print the resulting .jpg or use a unix pipeline like:
convert howardm_srgb.jpg -gravity south -stroke '#000C' -strokewidth 2 -annotate 0 howardm_srgb.jpg -stroke none -fill white -annotate 0 howardm_srgb.jpg jpeg:- | lp -
there is also an LR2/mogrify plug-in but it's an export plug-in so you'd still end up exporting first and then print it but it does sorta automate the middle portion