How would it be a 'new' genre? It clearly IS a romance, and with all that crying going on, I'd say it would be ideal on the YA shelves.
You've been posting about this story for months now, maybe a year, I've lost track. You started with the poor Irish girl who - most improbably - was at school with rich English aristocrats. You had the man who had been released from prison legally, yet who still thought he had to 'flee'. You had them travelling to Canada and falling in love but for some reason that you have never managed to explain, he thought he should abandon her.
Then she died and they all lived happily eve ... oops - well, whatever.
Look, if you want to write this story, for heaven's sake just WRITE IT. You don't need anyone's permission, and the more you post about it on here, where we're all sick of hearing about it, the more answers you'll get that are downright rude.
It might turn out brilliantly; it might not. But nobody, including you, will ever know, unless you do actually Sit.Down.And.Write.It.
Note: a book doesn't become 'moving' because its characters cry a lot. It is moving when the author writes it with skill and emotion.