I'm having strong urges to have a child with the woman YOU are with too
What you are feeling is absolutely positively normal. As an alpha male, there is nothing more primal and satisfying than to go forth and procreate...especially so with a woman you have a true "connection" with.
While being a bull put out to stud is a nice fantasy , the more important question you have to ask yourself is are you (you and her) ready for the other 99% of the equation? While the thought of having a child can be a fleeting high, once they arrive it's YEARS of your dedicated time, money, patience.
My son is 7 and we just had twin girls. All I can say is while they are a true blessing from God, how quick we are to forget the not so fun stuff. They are 8 weeks old and It's just NOW sinking in what I'm going to possibly be in for the next 30 years. The drama, paying for TWO weddings (shudder)...you get my drift.
It's like anything else brother. You have to sit down and really weight the positives and negatives and be blatantly honest if this is what you really want.
If this will be your first child. I say go for it, because I couldn't imagine leaving this world without having had a child(ren). If this will be a second family your starting, then that can be a bit more daunting.