Alright, let me get in the zone as I type on my phone. You gave me a quest, so I'll answer it the best.
The object on my right is something very light. It's soft, round and when you burry your face you can't make a sound. I'll always sleep with it but I flattened it a bit. But it works though as my pillow.

Word.
Lol

There once was a cute little elf, who rested up high on my shelf. The elf is a lie but please don’t you sigh,
You told me to do it, yourself.

Your views might be iconoclastic
Beside me there's a hair elastic
Thanks to it my ponytail stays high
Remember to always carry a hair tie

Is that a magic potion?
No, just a jar of LOTION.

;) lol

I sure can coz that needs no revision n plan.

Not mentioning the plight of this jam,
that was bought just last week, Madame!
I've no intention to isolate it to continue staring at me,
So, gotten some butter n bread for a nyyyc sharing. Joining thee?

Dog. So frog, log, bog, snog, hog, jog, cog...Shhhhhhhh. She is sleeping.

I am able
to rhyme with table.
That was easy.

House. It rhymes with the part of my computer that is immediately on my right.

Phone...bone. :)

My inhaler never failed her

the object on my right is a person...lol

Yes.

A cup isn't good enough to keep this rhyme from a stop