David
If the transmitter has been lying unused for as long as it appears to have done then the batteries will be useless anyway. That set was last made in the 70's (I think…) and will almost certainly have NiCAD batteries. If you can take the transmitter apart enough to remove the battery pack then take some photographs and measurements of that we might be able to recommend suitable replacements, along with a charger. I doubt you will obtain a suitable lead for that socket but that's incidental; you can easily wire the new pack to a standard 2.5mm DC socket and fit that into the side or rear of the case.
Addendum
I've just found this photograph on a French website:

If you look at the second one down you'll see the inside of the Tx, shown upside down. There's what looks like a shiny corrugated tube along the bottom (at the top…) which is split into 10 segments.The batteries in that pack are DEAC cells which were around when I first started RC modelling in the 60's! You will definitely not be able to buy direct replacements for those! The Tx appears to run on 12v which is equal to ten "modern" NiMH cells. If you're confident then you could obtain a suitable pack and connectors from Component-Shop and fit them yourself. If not then you might be best advised to remove all the Graupner radio and fit a new 2.4GHz set instead. There's no guarantee that even with a new Tx battery pack the radio will work, and spares are without doubt unobtainable. A collector might buy the set from you.
Dave M
Edited By Dave Milbourn on 06/05/2017 15:32:07
Edited By Dave Milbourn on 06/05/2017 15:35:20