I must second Dunk's opinion on Monarchy rushing.
Back when I played Civ1 I rarely used Monarchy at all. Having to pay shields for your units was just too much of a drawback. What you'd mainly get out of the deal was that you could irrigate those grassland squares to get three food, so with Monarchy you could get larger cities. And three shields from a mine.
No, irrigate the plains only and use forests for extra production. The squares you want to use most are shield-grasslands and irrigated plains, all with roads on them. Apart from that, the only work your settlers should be doing is making a road network.
Instead of Monarchy, go for Republic. The economic benefits are much greater (trade bonus on squares). But it's only time for Republic when you're cities are getting fairly large (so that the benefits will be greater), and you've already completed enough happiness improvements and wonders (but expect to use luxuries as well). Marketplaces are very important for your Republic also.
Remember, you can easily win this game in Despotism, with no city larger than size 4, no technology beyond Chivalry, no improvement in the cities except for Barracks, and no land improvement except for roads (between your cities)! In Emperor too.
Civ2 is the game where you want to rush for Monarchy, since it's superior to Despotism in almost every way in that game.