LTC is irrelevant, we're talking federal law here. Strawing a gun is illegal. Propositioning someone else for a straw is illegal. Lying on a 4473 is illegal. So that's an easy 2+ felonies right there. (I say 2+ because depending on circumstances they might use her to send him down the river and let her off so they can seal the coffin easily, depending on how dumb she was. If he's a PP that might be another thing, but if the transfer never happened it might mitigate that, cause they can't get him on FIP unless they have video of him fondling the gun in the store.
ETA: Down the road when this case is disposed of the feds have a search engine you can use if you really want to find the case and all the gory details. They "charge" for it but if you don't download a shitload of records every year it won't cost much or anything (there's an annual freebee allotment for those that sign up under some law ensuring public access to records.)
The sentencing stuff is a fun read, your eyes will probably glaze over.
I think this is it here...
https://www.pacer.gov/
-Mike