A lot size special exception may be granted when it is found that the present owner of an under-sized and illegally created lot was neither responsible for, nor aware at the time the lot was acquired, of the fact of the illegal creation of the lot and further that permitting the establishment, alteration, enlargement, occupancy or use will not be detrimental to the value of adjacent property, or to the public health, safety and general welfare. The lot size special exception may be subject to any conditions as are determined to be necessary to ensure the public health, safety and general welfare. As a part of the granting of a lot size special exception, setback modifications, lot coverage modifications, parking modifications, and the like, which are necessary to the establishment, alteration, enlargement, occupancy or use, and are consistent to the protection of the public health, safety and general welfare, may be specifically granted.