Sterling Silver Spoons

How can I clean a Sterling Silver Baby spoon?
My paternal grandmother left me 4 old stearling silver baby spoons. 2 of them lost their tornish, after I polished then a bit, The other 2 how ever the handles are clean, but the spoon or( botton end)looks like its still tarnished,they are a goldish color. Yes the spoons are stamped on the back stearling.
So what do I do?
I’m using Silver Polish, made for silver wear, it can also be used for jewlery, it just not getting the tarnish bit off. The handles is the only place where to spoon’s were ingraved.That came clean after 10 min of polishing.
I forgot the polish I’m using is commercial grade.
I worked in a jewelry store for over 10 yrs and the best thing is toothpaste. Put a little on it and then rub with a soft cloth. You will notice that there is black on the cloth, that was what was on your spoon, then rinse in cold water and dry. This works for sterling Silver Jewelry as well!!! Try it and you will see.