I have two Lefever DS grade 20 ga. guns, and one DS in 16 ga. All have 28" barrels, and one 20 ga. weighs 6 lb. 1 oz. and the other is 6 lb. 3 oz. The 16 ga. falls right in between at 6 lb 2 oz.
I think the one in the Gunbroker link is pretty pricey, even given its' condition. I really like them for grouse or doves, but they wouldn't be my choice for pheasants if we still had a shootable population of big native birds. As Geo said, they are all 100+ year old antiques, and I would avoid sending heavy payloads out of them in deference to their stocks. Lefever stocks are pretty fragile around the fingers where the wood meets the action above and below the sideplates, and many are found with split or missing wood in those locations. The majority of small bore Lefevers you find above the DS grade will have Damascus or twist barrels.