The whole passion fire connection is a very common achetype but this is done alright inspite of it. I usually love internal rhyme but the rhyme of fire and desire to me seemd tired and overdone. I can't knock you for using it because I know I too have used it. Wonderful title anyway putting the baby at the end broke my somber expression into a laugh, thank you for that. peace
Now this I like. I like how you liken love to a burning fire and you go that extra mile to connect the two.
I am not one for nit picking so I will leave that for someone else. At first I had to think about it until the third stanza. I find that It is indeed liken to a fire and that it does engulf the mind, body and soul.