Early haltzapffel lathe Triangular Bed?
The origin of this lathe is uncertain, possibly a Huguenot who came to England, A number of fine craftsman in the tool business are included in this group including Holtzappffel and his first (and little known) partner Russet. The earliest Holtzappffel lathes have distinctive French look about them. This lathe is dated to the 3rd quarter of the 18th century...... maybe?

This was mentioned by Rivett608 in Practical Mechanics forum.
Back ground information.
Now on to Holtzapffel's triangular bed lathes.... 1st a little about him.... remember in an earlier post I mentioned the decorative work on brass headstock..... this could be a source? Also note he worked in Ramsden's shop where he would have been exposed to machines with triangular beds!!!!
John Jacob Holtzapffel I (1768-1835) – J. J. Holtzapffel was born and lived in Strasbourg (then part of France) where he was trained as a mathematical turner. He moved to London in 1792 and worked for two years in the instrument workshop of the famous Jesse Ransden (1762-1800). Then, in 1794, he setup a mechanical and toolmaker business, initially as a partnership with Francis Rousset. During its first years, the shop made anything requested, including casing of guns, inventor's models, etc. In 1795, the lathe production for which the firm was to become famous was started. From 1795 to 1803, the firm produced and sold 385 lathes, including Holtzapffel's first rose engine lathe in 1797.
Have a look at this trade card from 1828.


Just blown up a bit, not to bits Haha.
In one of Holtzapffel's book's is this picture to see


With the description of the lathe.
Further investigation revealed 2 more pictures,one lathe that has been sold in in 1994 and the other one could be the same before restoration.


One more early lathe
This is also a triangular lathe only the parts are left over.
This lathe is in a private collection and awaiting restoration.



Pictures 3X above are here thanks to Ray.