Hi Robin!
You're getting into my neck of the woods now!
I'm not familiar with "Border", KY... but I am somewhat familiar with the L&I. I think what your daughter might have meant was that the scene in the picture is CLOSE to the border with IN, &KY (the Ohio River) I'm pretty sure the picture is actually taken in Jeffersonville, IN. There's a yard, & small engine service facility there.
The L&I is a short line that connects Louisville with southern IN., & is mainly a bridge line between the Paducah & Louisville (another local short line) CSX, & Norfolk Southern.
The trackage used to be the Pennsy's line into Louisville, & it crosses a mile-long through-truss, & deck-girder span that crosses the Falls of the Ohio, & the Portland Canal. (there's a vertical-lift span over the canal.)
They have an interesting assortment of older diesels, alot of ex-IC stuff, & even some from the old L&N. (a year or so ago, I saw a couple of RS-3's at the yard!) I'm not sure, but I believe both those engines in your picture are old "Paducah re-builds" from the Illinois Central...possibly what they refered to as a GP10.
Another cool thing is that a few hundred yards north of where I think that picture was taken, is (or was...I haven't been up there for a while) an old brick Pennsylvania interlocking tower. The last time I saw it iot was in a state of total decay

I'll see if I can get up there & get some pictures, & put them on here.
Does your daughter live in the area?