hmmmm... Ds started calling himself 'baby' around 18 mo. Our nickname for him was babysize, so he heard that more often than his real name! By about 2 he started saying his real name, as I was endeavoring to drop his nickname so that he wouldn't get jealous/confused when we have another baby.
Forum crashing here, but I was just looking up this data for my kids because I'm teaching my language development class next term.
Neither of my kids were very early: Dd was 19 months and ds was 21 months. Ds went on to use his name to refer to himself almost exclusively for the next 4-6 months. Dd hardly ever did. She used pronouns. (That's actually typical for 2nd kids -- they hear the pronouns more often in a greater variety of contexts, so they figure them out earlier.)
DD had a million nicknames, we called her about 10 different ones in just one day. I think this delayed her learning her own name. She
s been saying it since I think 23m, she will sometimes answer people, but most of the time she says it when I'm playing games with her asking her if she's a cat, doggy.. She gets all mad and screams "IM SOPHIA!"
DS is 18 months and has been saying it (kinda) for a few months now, He has lots of words for is age but there was one he always said and no one had any idea what he was saying...I've just realised in the last few days its his name....usualy said when he wants me to call him, when he's "hiding" (behind a sock or closing his eyes, hahaha). He'll start shouting Nannnnooooor (Connor), kind of like "hey mom!!! I'm hiding...come find me!!!!!"
I think ds was close to 2 before he started saying it, but I can't remember for sure. His name is also a difficult one. He said "I" first, though, and I don't think dd did that. (I don't know how you all keep track of all this stuff. I feel like I'm not going to remember anything from this time in my life -- I'm so busy and exhausted!)
From what I remember, my son started saying his own name at around two. He's Silas (came out "Shy-yash" at first, it was so cute!) and I think the "s" at either end was tricky for him. He used my daughter's name, Bella ("Ees-beela" or "Bay-yah" at first) long before he said his own or used it on a regular basis.
DS is 16 months and started calling himself Bug (his nickname) about a week ago. It'll probably be awhile before he starts calling himself by his real name, since he doesn't hear it much. DD was my early bloomer, but didn't start calling herself by name until around 2, and no one understood what she was trying to say until around 5. I gave her a tough name for a little one to pronounce.
At 16 months DS would look in the mirror and pat his chest and say his name - then kiss himself in the mirror It was sooo cute! By 19 months he could say his first middle and last name and started calling his favorite adults by their first names plus his last name. He spoke about himself in third person until he was nearly 2. Then he started to figure out the first person pronouns.
He was a very early and PROLIFIC talker (I need earplugs!)