Vertical Engines
The original vertical engines were those with vertical cylinders, where the piston rod emerged upwards and the crankshaft was overhead, it has subsequently been applied to the more frequent and later typw where the cylinder is at the top and the crankshaft below - these latter should, if being pedantic, be referred to as inverted vertical's !
The desire and need to make engines without the huge ponderous rocking beams was high, cost, space and usability being among the reasons for this, however it took some time for a sound arrangement to be devised.
The Revd. Edmund Cartwright addressed the problem in 1797 with this design, guidance of the piston rod in a straight line being an early problem which he addressed using two cranks mounted on gear linked shafts.
Richard Trevithick also entered the vertical engine design field - before he went off at a tangent and invented the steam locomotive that is.
Then the triangular connecting rod was tried
Followed by the table or steeple engine
The twin side rod entablature engine
Ferrabees Pillar engine - built at the Phoenix Foundry, Stoud, where a few years later Edward Beard Budding invented - the lawn mower.
Bensons of Nottingham weighed in with these two designs - castings to build a model of the columnar engine are available from Bruce Engineering if you would like a working example of this very attractive designe.