The easiest answer is NO.
The woman you are dating does not qualify for a visa, or she would have had one years ago. It is that simple.
Yes, I got my stepson (a kid I raised since he was 3 or 4) his first visa, after he was refused on his own. Last week his oldest and youngest were given 10 year visas and the passports were delivered in 48 hours. BUT, he is a highly respected ENT doctor, and qualifies on his own now.
She can try and maybe, who knows, she will get a visa. You now apply on line, fill out the form, put up a digital photo, make your appointment and see what happens. But most Dominicans will have major trouble filling out those forms. It took me 45 minutes!....So you had better do it for her. ADVICE: Do not lie! And no 'attitude" if you go to the interview.
HB