Is it normal for someone to always remind you that they're 3 years older?

I have a family member who, everytime I see is always randomly reminding me of our "enormous" age gap.

I could be over her house and she'll say something like, "You probably don't know as many bands as me because I'm 3 years older than you"
OR
Once when we ate out, she said, "how old do you think the waitress is?" I said, "our age". Then she said, "whose age? im 3 years older than you, thats a big difference" so, I said, "about 24" then she said, "yeah, she does look young like you"

AND

When we're out at a bar, she says to the guy behind the counter, "get me -insert random drink here- for my young friend"
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She always refers to me as her young friend and shes always pointing out the 3 year difference.

Weird thing is:
90% of all her friends are UNDER 21 (thats a 5 yr difference).
She got married at 19
She had a baby at 17
She never went to college and doesn't work.
She lives with her mother

Me?
80% of all my friends are 30.
I am engaged and don't plan to marry until 28.
I didn't have a baby.
I graduated with a bachelor's degree and I work full-time.
I live in my own apartment.

Whose truly the older one? I think you know the answer. People tell me she does it because she might be insecure with how her life is and how most of her life is filled with immaturity and stupidity while my life is filled with success and maturity (most people tell me I act a lot older than my actual age).

I'm 23, she's 26.