Your dog? Coons are smart and can climb. Weasels and cats get around in the day time and alot of cats only eat the heads of their pray.? Keep'em closed up until they're big enough to fight or flight?
A swamp cooler float valve (home depot, lowes has them) will work with the bucket or hard wired to your water system. Drill right size hole in a pan at the level you want the water. Put the float in, hose or copper tube to bucket/water. If you run it from the top of the bucket you'll have to...
Maybe their figuring in water in the radiator of the tractor and truck that grow the corn, rain, train etc. or maybe their setting up their faulse figures to tax you for being alive?
Once hes got'em in line he'll just talk to them and they'll get down, he'll hop on do his thing and hop off, not much pain, but they'll have to mind otherwise he puts'em down. He would like 4-8 more hens but 4 better than none.
Looks like from your website you have plenty of room for more roosting. get more wood? Roos will seperate their hens outdoors and get along enough inside. You just need more perching space. They only need afew square feet each if they have all that space outside.
Put her in a cage on the ground with water and not much food for a few days if she just started if shes been that way for a week or so you'll probley have to leave her in for a week.
I wouldn't use petroleum jelly on me. Use grass hay and let him take dirt bathes, plenty of food, water, shade...? Don't handle him to much or chase him in the process. May have some Leghorn blood?
(today was (I think) around day 18)............the chick would be moving around by then...the hen knew it...21 days to hatch....viens at a few days ...18 would be a solid dark chick.