Baggage Allowances on the Voyage?

I am pretty new here, and have yet to find - not that I wouldn't sooner or later! - any information about how much baggage and/or household belongings immigrants were permitted to bring on board the ships. My interest in this question is related to my great-great-grandmother's spinning wheel, which supposedly came over with them from the Gjerpen area, around 1866. I spin on and collect antique and vintage wheels, and this question has come up from time to time. Wheels are often advertised as having been brought over on the immigration journeys, and I'm sure they were, but any other details about the process would be very helpful. In my grandma's case, the wheel type is very atypical for her region of origin, so I wonder if it was perhaps picked up along the way, or even once in the US. Thanks for any directions or topics you might guide me towards.