I'm not saying this is an official history. I'm sure U.S.-Subs will have a more accurate story. As countries do, the U.S. wanted to update its inventory of 155mm weapons. During WWII they had the old design M1917/18 Howitzers and the 155mm Gun M1917/18, which were first released at the end of WWI. The projectiles used by the Howitzer had one rotating band 0.6 inches wide. The Gun fired a projectile with either two rotating bands of 0.6 inches wide each or the newer single band that was 2 inches wide. Each of these weapons had it's own ammunition, so there were Chem projos for the howitzer, the newer M105 and the older Mk. IIA1 which were fired up to about 1,500 ft. per second velocity. The 155mm Gun had its own Chem projos, the newer M104 and older Mk VIIA1 which were fired at around 2,800 ft. per second, thus the need for more rotating band.
In 1944, these weapons were being phased out to be replaced by the M1 155mm Howitzer which had different chamber dimensions that either of the earlier weapons. A new weapon with a new chamber required new ammunition with a 1.00 inch wide rotating band. The ammunition for all of these weapons was not interchangeable, although the M118 Illum projo was marked 155mm GH to be fired in guns and howitzers, to be used in the leftover guns still in inventory. So the M110 is the Chem projo with a rotating band to work in the M1 howitzers.
Info on the ammunition and weapons can be found in TM 9-1901 Artillery Ammunition dated 1944. I would expect there would be more info in the Ammunition Inspector's Guide, but I don't have mine handy at present.
The conclusion to be drawn here, is that there were 4 predecessors to the M110, and it would have characteristics of those projectiles incorporated into it's design. So, it wasn't designed from scratch, it was mainly a rotating band change to be used in a newer chamber.