Usually you see egg in droppings if an egg breaks during transit. When birds lay internally the egg is deposited into the abdomen (before the shell is formed) rather than passing down the oviduct. This can go on for a while sometimes before infection sets in that shows symptoms. If it's EYP (egg yolk peritonitis) then antibiotics may help, but it will often recur since the underlying condition will still be there. The symptoms of the various reproductive problems can be very similar, so narrowing it down can sometimes be very difficult. Often the cause is not known for sure until necropsy. Most of them cause discomfort or pressure in the abdomen which can make them appear to want to lay, when they in fact can't or are not. If vet care is an option for you then they may be able to recommend which antibiotic is best and might help. Many use enrofloxacin (Baytril), but for many of the possible causes treatment is usually not successful, it may buy some time in some cases. Salpingitis is notorious for not responding to treatment, and the various cancers are generally not treatable. Baytril is not approved for use in laying hens, but some vets will prescribe it for birds that are pets.
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