Starship Asterisk*

The Pillow Nebula, of course.

Square Butter "fly"

I have it. Thinks this moniker when you look at it again.

Roasted Marshmallow
or Just Marshmallow.

Yup!

This is obviously the Cotton Bale Nebula. If you've ever seen a Cotton Bale bursting at the ends, you'll know what I mean.

either marshmallow or pillow in space

Looks like a developing cumulonimbus so I'll suggest Nebulo-nimbus for this.

Stingray nebula

Pillow Nebula.

Flying Squirrel or Polar Bear Rug

'Stephans Phantom Nebula'

or may be 'Stephans Box Kite Nebula'

Sweet dreams pillow nebula

How about the Flying Squirrel Nebula?

How about Used Cotton Swab.. or UCS

The Starfish Nebeula

(it looks like the common geometric shape of a five pointed star. might as well be a fish to avoid boringness and confusion)

The Shark Nebula

(i'm seeing marine life! it a shark with long fins swimming to the left. his tail fin was destroyed in a fight. it's just a point now)

The Chimp-face Nebula

There's the face of a chimpanzee in there. The face is looking to the right slightly (not in full profile.) It's about where the top and right points of the star shape meet.

The Mufasa Nebula

why not?

Sorry if any of these are already in use. I'm not well versed in nebulae names

Names I nominate for the Bright Planetary Nebula NGC 7027 include "Manta Ray, White Manta, Albino Manta, Starfish, White Starfish, or Albino Starfish".

Kilimanjaro Nebula

This should be called the "Swan's Pillow"

Sugar Glider

Both shape and texture remind me of a Fleece rug. Therefore: Fleece Nebula

Shearling Pillow

Ice Cube Nebula is first thought when I seen it.

Sugar-Glider or Marshmallow Nebula.

Both are accurate funny and popular.

Stay-Puf Marshmallow Man