I remember those well, and had them on several of my bikes, before frame-fit pump heads became fashionable. I think your "umbrella" can accommodate a wide variety of pumps, including many with frame fit handles. The best period-correct pump for you is probably a Silca with a Campag. head; I doubt you want to go back to the old days of detachable hoses and flimsy aluminum tubes, as on Peugeot's original equipment Zefals and AFAs.
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"Far and away the best prize that life offers is the chance to work hard at work worth doing." --Theodore Roosevelt
Capo: 1959 Modell Campagnolo, S/N 40324; 1960 Sieger (2), S/N 42624, 42597
Carlton: 1962 Franco Suisse, S/N K7911
Peugeot: 1970 UO-8, S/N 0010468
Bianchi: 1982 Campione d'Italia, S/N 1.M9914
Schwinn: 1988 Project KOM-10, S/N F804069