My daughter (2.5 in three weeks!) knows the names to all her dolls and animals. Many of them I came up with, but she's named a few. A couple of times I've suggested a name and she's said no, then approved of a subsequent suggestion. My husband has come up with a couple.
As for what the names are like.....
Nini (bunny...an old "tradition" in my family, since my oldest sister named her stuffed bunny Nini at age one. She probably was saying the last syllable of "bunny.")
Mr. Bun (another bunny, with glasses and a bow tie)
Bunny James (another rabbit)
Elefante (stuffed rolling elephant pull-toy)
Ellie (stuffed elephant)
Max (pull-toy dog)
Bear, Teddy, Brown Bear, Sam (all stuffed bears)
Florida (orange Beanie Baby bear)
Uncle Penn (penguin)
Bartleby (a little organic "elf" doll from Under the Nile. That's one that took several tries on my part to find the "right" name.)
Cotton, or Cotton Dolly (another cotton Minimo doll from Under the Nile.)
Amy (she named this one on her own, Christmas morning. After me, I guess?)
Dora (not Dora the Explorer, just a stuffed doll my mom gave us when she was a newborn and I named her Dora after my dad's mother)
Christmas Dolly, or Miss-Kris (a little red doll with "Christmas" embroidered on her chest)
Dressy Bessie (the name she came with)
(I got really into naming these because they are family units. And my daughter really calls them each by name, even though there are so many. It's precious, and funny, and a little bizarre.)
There's another doll that looks just like Daddy Will, except in different clothes, and there's a random nurse doll. So we call them Uncle Nate and Nurse Betty. They are usually together; I guess they're dating.
the farm family:
didn't name any sheep or pigs, thank goodness!
Ezra & Leona (these are the "farm" grandpa & grandma that came with the little tractor....)
There's a second set of farmers, and we named them
They have a baby but I can't remember the name.
(I have had to ask my toddler to remind me of various names before. I've forgotten Ezra & Leona, and Piper the dog, and Poncho the horse. Thank goodness she keeps them straight for me! I just have to come up with the names and tell her once.)
Names are important and fun around our house. She also wants to know the names of every piece of clothing she wears, so I come up with lots and lots of names.
"mandarin collar tee"
"green bean pants"
"bold stripey shirt"
"fresh striped capris"
"summer fruit pants"
"morning green shorts"
"poppy red top"
Today I put her in a sundress, and instead of asking its "name," she said, "This 'hills are alive' dress, Mom?" And yes, the last time she wore it we came up with "Hills are alive dress" and she spun around singing "The hills are alive with the sound of music" when I put it on her.