Thanks, BillM223. Clearly TurboTax does have the capacity to attach a statement because to submit the 1041 electronically, you must print, sign, scan, and upload a signature page (PDF). Which I discovered shortly before I realized that I would not in fact be able to e-file. So I gathered that most likely there was also an issue on the IRS side. It's moot for me now, because I printed the Federal 1041 and mailed it with the attached statement, and TurboTax doesn't support e-file for the NJ State 1041 anyway, so I mailed that one too. I would have preferred to e-file both, but TurboTax was still worth it because of the help completing the forms and presenting the required information. And, I found a lot of support through TurboTax Community support pages this year! So, thank you.