Well, I consider a five pound chicken to be a "large fowl". Anything higher than three or so pounds I consider to be large fowl. I agree with you that you should focus on your exact chicken's weight instead of an "average" chicken when figuring out dosages.
There does appear to be some controversy pertaining to the correct dosage for Tylan200 and Tylan50. I think that your dosage is mathematically correct, but that dosage is not always the one given. I got my information on the large fowl dosage for Tylan200 from...
That sounds like a respiratory disease. Many respiratory diseases affect chickens, so it is difficult to pinpoint the exact one. However, no matter what the disease, isolate her. Respiratory diseases often spread quickly, and can be serious.
Keep her isolated in a crate/cage/large cardboard...