I doubt the fumes had anything to do with you actually getting sick, the polyester resin fumes are obnoxious, and the family may hate you for it, but the level of fumes from what you did wouldn't be enough to cause an actual illness. The odor does spread through a house quickly, and if you haven't been around it much you may feel like it's overpowering, but people work with it all day long, day after day, year after year, at levels much higher than what you experienced without problems.
I'm not saying it's good for you, or that it's not an issue, and not many people like the smell, but someone that hasn't worked around polyester can detect levels of styrene (the solvent you smell) at extremely low levels, far below what's considered safe in the workplace for an 8 hour shift.