It doesn't sound like there are inches and inches of water in the OP's parents' basement, a bottom-draw pump will operate with a very small amount of water and suck the water from close to the hard-surface. The regular kind of sump-pumps have their openings 3" or so above the hard surface and by the time 3" has accumulated, the stuff in that basement might be (soggy) toast. Also I think the regular pumps can burn out if you leave them on and try to use them in a 'pooling' situation.
agnes!
I don't know what kind of sump pump you have but that does not describe our sump pumps.
They are below surface and you can alter the level you want it to go off.
We have had ground seepage and put in drain tile with a sump pump on our first house.
Hopefully OP has gotten some better equipment to help her parents out with their issue in the interim.
Perhaps I did not explain it very well, but this is the type I was trying to refer to:

does not have a connecting pipe that draws the water out, instead the water is filtered right through the bottom of the sump pump.
So perhaps the "bottom-draw" sump pump can also be known as a "submersible sump pump"?
OP - You could maybe try out one of the smaller Little Genie pool/pond pumps to at least pump the water out on an interim basis, just make sure you don't walk away, you'll probably need to tend the pump so it doesn't burn out trying to pump air when the water has been gotten rid of.
agnes!