Could it be Oglet? Wikipedia (I know) also has a reference to it as Hogolete.
Old roads / lanes are there because people, even the few(er) that were there in the 1830s use them and as time goes on there were more people to use that small west to east route.
The first rule with maps and drawings is 'do not scale'
Which means just because distance A 'looks' twice as big as distance B on the map drawing you can't assume that it is twice the
size - until you physically measure it, aka, walk it.
That not withstanding
I know maps back then were not as accurate, but accuracy is relative.
Even a map drawn in sand with a stick is not going to confuse Prescot, Tarbock / Cronton, Hunts Cross and Oglet, which is, as the crow flies / straight line distance of 9 or 10 miles...back then, walking, nobody is going to confuse 1mile from Oglet to Hunts Cross with 7 miles from Oglet to the Tarbock / Cronton Rd.
Which is where I think our mysterious Horselet was.
The key point is where tf did it go!?
Places (mostly) leave echoes, in the 1840s Farmer Shaw sold a part of his field, the farm is long gone but Shaw St remains.
Nobody knows where the Knotty Ash tree actually was, or the Dovecot, or the Rose in Mossley Hill but echoes still remain.
We'll never know.