Should he welcome his lover’s baby from another relationship?

Should he welcome his lover's baby from another relationship?
From a blog reader:

Good afternoon im a frequent viewer and I’ll really appreciate it if you can post this…..My issues looks simple and complicated @ the same time.

I’m 24 good looking,entrepreneur, and as far aas i can say comfortable. My problem is that im dating this girl who is 23&she has a baby 4 another guy d guy accepted responsibility but said he wasn’t ready for marriage

So they went their seperate ways.Me taking care of the baby isn’t a problem i just wanna if its right or not.Cos to be honest she told me from the onset about the baby&i really love this girl.. Would be waiting for the comments.