lyzdude

I think it's generally a good idea not to offer the government any unrequested information.  To my recollection, there wouldn't even be any place in any paperwork where you would be providing any information about your relationship with Adam, unless you have been married to him in the past.  So unless they ask, you don't need to provide any information about Adam.
 
Now, would they ever had any reason to ask you about Adam?  Well, that's probably a very good question.
 
A green card (or more accurately a permanent resident status) will only be valid for 2 years, if the green card is based on marriage to a USC and the marriage is less than 2 years old.  Therefore, if you get married to Steve and he gets a green card before your second anniversary, his green card will only be valid for two years and you guys will need to apply for the removal of that conditional permanent residence at the end of those two years.  So it wouldn't be smooth sailing yet even after you marriage and his initial green card.

lesthatsri: No. Once you apply for the removal of conditions on your PR, your CPR status will be automatically extended for one year. You'll receive a letter to this effect. They won't send you a new green card for this one year. But whatever you need to do that requires a valid green card, your old green card (possibly expired already) together with the letter should be enough.

I think they do transfer some I-751's from Vermont to Cali to somewhat equalize the processing time. But it doesn't seem to be helping very much.

Do you know what kinds of proof they are looking to provide? I will be travelling back and forth throughout that time, so photographic evidence for that last year shouldn't be a problem, in addition to joint accounts/billing addresses/taxes/etc. Plus, my wife and child in all likelihood will be staying together with my parents during that time.

I'm in roughly the same boat. My wife is an LPR and we have been in the US for just shy of 2 years now. I've just been offered a position abroad, which would likely need to begin sometime in the next 3-4 months, and I'm wondering if it is possible for my wife and child to stay back in the US with my parents and apply for citizenship after one year. Did you ever get a good response for this?