Eurostar Ams-Paris wrong name

Hi. I booked a train ticket for my partner from Ams to Paris on the eurostar. I dont know why my name is on the ticket and not his. Now I see we cant change the name on the ticket and have to buy a new one (its 100eur extra at least).

does anyone have any experience with using a ticket with the wrong name on it? they dont check ID on the train from amsterdam to paris usually since it's schengen, but maybe they will flag it by the fact that it's a woman's name.

please help!!