Complex sentence: The UDC protested, as it had funded approximately a third of the cost in 1935 when the building was constructed, with the condition the building would be named Confederate Memorial Hall, with two floors reserved for women descendants of Confederate veterans.
Split into simpler sentences: The UDC protested, as it had funded one third of the cost in 1935 when the building was constructed. Its condition was that the building would be named Confederate Memorial Hall and have two floors reserved for women descendants of Confederate veterans.