Hi. I'm online and happy to answer your question today.
As you have already found out the prednisolone won't help with this condition...and it may make it worse.
I didn't realize this.
The most common cause for swelling or bump on the eyelid is a chalazion or a stye. These bumps form when a gland in your eyelid gets plugged up and possibly infected. It is very often associated with a condition called blepharitis.
The treatment for this condition, however, is not antibiotics but rather cleaning the eyelids with baby shampoo. Buy some unscented baby shampoo and, in the shower, put the shampoo on your index fingers. Close your eyes, and raise your eyelids (to get skin out of the way) and scrub back and forth along your EYELASH margin. This is where the gland openings are located. The warm water will soften the gunk in the plugged glands, the friction and pressure of your fingers will massage the glands, forcing the gunk out and the shampoo will wash it away. You can also use warm compress to the affected lids during the day as your schedule allows.
This treatment will help to treat the bump on your eyelid while at the same time solving your underlying blepharitis. The lump may take many weeks to go away but you should notice some improvement in a few days or so.