How cool on the egg colors! What an LF? What's a bow tie? Will the eggs we got from you possibly be frizzled?
I am going to take a stab at answering this...
LF means any standard size bird like a Naked Neck Turken. (large Fowl) or any other large bird like a RIR, EE, Orp, all the regular sized ones. Not bantam.
A Showgirl is a bantam (small) size bird....
I will try to explain, I hope this makes sense..
A "showgirl" is a NN silkie...generations back a Turken was used to get the NN gene, but the bird has been bred generations to get mostly basically a silkie with black skin, five toes, a little bantam...all the silkie traits with the exception of a naked neck.

So they are two different types of birds...but they both display the Naked neck gene....bowties are the little poof of feathers on the front of the neck. Some Naked necked birds have naked all the way down, some have a patch of feathers on the front of the neck like a bowtie. Both NN Turkens LF, and Showgirls can have or not have bowties.
The eggs I gave you are a little different because I am breeding to get Showgirls and Silkies but that also may carry the frizzle gene. The eggs, came from one of two pens-- either one frizzled silkie rooster parent (Ernie), and one Naked neck silkied hen parent OR one regular (non frizzled)silkied rooster parent (Yoshi) and one Naked Neck frizzled silkie hen parent. You can't breed frizzle to frizzle, and you cant breed NN to NN or you lose the bowtie. That is why they are paired up this way.
So the babies will be either showgirls (NN Frizzle, NN silkied, NN smooth,) or Silkies (frizzled, Silkied or smooth with no Naked Neck). Naked Neck is a dominant trait and will present itself if the gene is carried...it is not recessive so if the bird has no NN they do not carry the NN gene for future generations (it won't show up down the line in offspring).
Hope that helps lol it prob sounds ridiculously confusing. I am not very good at explaining and still learning!