You may have had toast "soldiers" when you were young, but we had toast "dippies" to put in the boiled egg. Eggsactly the same as soldiers, but a different name.

For a perfect egg with the white set and the yolk runny I always cook for 1 minute in boiling water, then remove from heat, cover and leave for 5 minutes

With fried eggs we put the egg in the bread (a sandwich), not the other way round.