If you have lived in NC for 6 months or more, then it has to be done here.
I'll tell you which forms you'll have to file and where to get them. All you need to do as far as the biological father is concerned is download the form for him to sign and either email it to him, show him where to download it, or mail it to him. Have him sign it in front of a notary, get it notarized and mail it back to you so you can file it with the petition that your husband will fill out.
This is what your husband will file.
http://info.dhhs.state.nc.us/olm/forms/dss/dss-5162-ia.pdf
This is what you will file.
http://info.dhhs.state.nc.us/olm/forms/dss/dss-5189-ia.pdf
This is what your ex needs to sign.
http://info.dhhs.state.nc.us/olm/forms/dss/dss-5190-ia.pdf
You need to file all these things to the Clerk of Court in your county at the same time.
This is the adoption decree, which will be done after everything else... at the end of the process.
http://info.dhhs.state.nc.us/olm/forms/dss/dss-1814-ia.pdf
There may be other forms that you need up there as well, but those I know 100% are what you will need to get started. Take them to the Clerk of Court. You'll also have to pay filing fees.
http://info.dhhs.state.nc.us/olm/forms/dss/
Also, you're going to have to have a home study done by DSS. The process normally takes 3 to 6 months, depending on how stuff goes, although I've seen it take longer.. up to a year 1/2. That was because the attorneys screwed up the paperwork, didn't communicate and were lazy. It took 4 months to get the homestudy done by DSS.
If you need to refer to laws and legal procedures, go here..
Scroll down to termination of parental rights, Article 11.
http://www.ncga.state.nc.us/gascripts/Statutes/StatutesTOC.pl?Chapter=0007B
http://www.ncga.state.nc.us/gascripts/Statutes/StatutesTOC.pl?Chapter=0048