The house must be worth a lot more than �10K so in effect it is more or less being given to the 4 of you. If the �10K is used to pay off the mortgage & the transfer is done before any of the unsecured creditors get a charge on the house then it should be safe from those creditors for the time being.
But any of the creditors could make your parents (or one of them) bankrupt, & they would be more likely to do this if they realised the house had been put out of their reach. The effect of bankruptcy could be that the Official Receiver would reverse the transfer to the 4 of you because what your parents have done by making that transfer is dispose of an asset (the house) at less than its real worth and to put that asset beyond the reach of the creditors in order to disadvantage them. The house could then be sold & your parents would have to leave it.
Even if this did not happen there are other risks. If any of the 4 of you became bankrupt the share of the house owned by that person would be an asset in the bankruptcy & the house might have to be sold (& - as above - your parents would have to leave it). Also, if any of the 4 of you was divorced the share in the house would be an asset in the divorce & it might have to be sold.
None of this might happen but, if you go ahead, you need to do so with your eyes open to the possible risks.