A Question about button sizes

[fyrffytr1]

I found these three buttons at different times in the same field and was wondering where on the uniform they would be worn? I assume the large one would be a coat button but the other two I am not sure about.

 

[nova treasure]

Some buttons vary in sizes by makers and uniforms.
IMO, the Artillery button at about a 3/4 inch would be a coat button, the infantry button at 5/8 in would probably be a vest button and the smaller general service button would be vest to cufflink.

Nova Treasure