In reply to FesteringSore:
Check the constitution. It will normally state how many are required on the committee for it to be allowed to continue, It will usually state that if there are not the three main roles filled, then there is a certain amount of time that it can continue before it it is required to be 'wound up' and any assets transferred to an appropriate body.
Its a mistake to ask people if they want it to continue. Its simply one of, 'unless we have a committee structure in place in XXX days, the group will be wound up.'
Does anyone pay anything? Are there any assets? Does the Surgery have any interest in it continuing or any input at all? Is one of the Doctors co-opted on as part of the constitution.