I have put it back together (mostly) for practice and to demonstrate the top and bottom fittings. Other less obvious damage are a chip to the edge of both pink galleries, one a sliver the other a gap. The gallery frames have welding to joints on one. There is some gungy glue on the base of one fitting to the candlestick, I think to effect a firm fitting. A few nibbles to the tops of the pencil glass chimneys.
The good news and dimensions. Heavy and heavily weighted early brass candle sticks.... Weigh 7 lbs and are 3.5 inches across base and 9 inches high.
The reservoirs one good the other a jigsaw bottom fittings are 11/16ths of an inch diameter at base and just under 1 inch with screw thread at top. There diameter is 3.75 inches. The burners have gallery holders for the glass shades. The item "Pair pencil oil lamps pink glass shades for parts see photos c1900 heavy bases" is in sale since Wednesday, July 7, 2021.This item is in the category "Antiques\Architectural Antiques\Other Architectural Antiques". The seller is "weet820" and is located in beaumaris. This item can be shipped worldwide.