I played 10 turns:
Inherited Turn (1840 AD) I pick up my Cat-O-Nine-Tails and take a quick look around for tweaking opportunities. I trade a grassland mine (1F3H) for an irrigated farm (3F) to get Thermopylae growing again, size 11 in 7 turns. I swap a plains mine (4H1G) for a farmed floodplain (4F1G) and hire two scientists in Karakorum for an additional 12 beakers a turn but slowing down production capacity. I figure it's our science/commerce giant, so let's specialize for goodness sakes.
Hamburg is an interesting study:
I NEVER would have come up with this arrangement myself but it's doing a truly admirable job of milking some coin for us. Somebody ought to take a bow for this one. Oh, except why is it building an Aqueduct with a +10 margin on health points? I switch it to a Buddhist Stupa for the culture it really needs. Hamburg's a little light on production so the Stupa will be finished the week
AFTER hell freezes over.
Dortmund is building an Aqueduct too, with +8 to spare in health points. I'm gonna tell GreyFox!
Most places are growing nicely. Relax. I put away my whip and dream of the days when we have discoverd biology.
Where should we put Ironworks? Thermopylae has a base production of 22 hammers (more as it grows), +25% from forge and 100% from Heroic Epic makes it 49 hammers when producing military units (33 when not). I think I'd rather build West Point here anyways. Sparta is our highest native producer at 33 hammers because it's the capital (+25% for forge, +50 for Representation). Ironworks would do more here until we change civics. Dortmund and Harappan are next with 25 hammers/turn which is better than Sparta's production without Representation followed by GreyFoxTown at 21 hammers/turn. I pick Harappan for Ironworks because it's on the coast and it can help us build a navy. Harappan can still grow and work even more hammer tiles in the future. Also, Dortmund looks more like a commerce town, so I switch the Aqueduct to a Market.
Tech learned: Liberalism
Turfan finishes: Grenadier
Texcoco finishes: Theatre
IBT: Tokugawa declares war on Bismark, switching to Theocracy and Vassalage in the process -- doncha just love the imagination of that guy?
Turn 1 (1841 AD)
Research begun: Rifling
Turfan begins: Theatre <-- To put some cultural pressure on Ravenna. Working together with Old Sarai, the two cities should be able to flip Ravenna.
Texcoco begins: Library 
and it's still starving.
Sparta finishes: Cannon
Thermopylae finishes: Cannon
Texcoco finishes: Library
IBT: Our peace treaty with Monty expires. Hold onto your seats.
Turn 2 (1842 AD)
Sparta begins: Grenadier
Thermopylae begins: Grenadier
Texcoco begins: Granary
Hamburg grows: 6
Frankfurt finishes: Grenadier
Cologne finishes: Library
Texcoco's borders expand
IBT: Another German grenadier camps out in our winery outside of Hamburg.
Turn 3 (1843 AD)
Frankfurt begins: Grenadier
Cologne begins: Drydock
At Hamburg:
War Elephant promoted: Combat I That's on top of Flanking 1 & II. He might be able to withdraw after hurting the German grenadier
While attacking, War Elephant loses to: German Grenadier (4.32/12) <== yeah,right. Well, he did rough the German up a bit.
While attacking, Grenadier defeats (12.00/12): German Grenadier <== experience goes from 21 to 22. 4 to go to Level 6!
Karakorum finishes: Grenadier
Enrico Dandolo (Great Merchant) born in Hamburg
Old Sarai grows: 9
Old Sarai finishes: Library
Dortmund grows: 11
Turn 4 (1844 AD)
Karakorum begins: Cannon
Old Sarai begins: Theatre
Ooops, I forgot to revolt 3 turns ago when Liberalism came in. I hate it when I do that. And Enrico Dandolo (Great Merchant) is born in Hamburg.
Joining him will give more food and 12 gold/turn. Economics can give us Free Market in about 6 turns with Enrico's help. I decide to revolt to Free Speech, Free Market and Mercantilism (the latter because it didn't extend the anarchy period at all). Then we can decide on whether or not we want Free Market or join him to Hamburg.
Turn 5 (1845 AD) Irrigation is complete at Thermopylae. I start building Lumbermills everywhere.
Turn 6 (1846 AD)
Turn 7 (1847 AD) Revolution is over and we'e back to Rifling, due in about 6 turns. An Aztec revolt just occured in Texcoco instead of the border pop I was expecting. Ratz. 8 turns of nothing there now.
Athens finishes: University
Thermopylae finishes: Grenadier
Corinth finishes: Caravel
Turfan finishes: Theatre
IBT:
German Empire eliminated <== way to go, Toku!
Turn 8 (1848 AD)
Athens begins: Cannon
Thermopylae begins: Cannon
Corinth begins: Drydock
Turfan begins: Cannon
At Corinth:
While attacking, Caravel loses to: French Caravel (0.72/3)
While attacking, Caravel defeats (3.00/3): French Caravel <== and I deploy our fishing boat on the Whales the French boat was parking on.
I finally decide to burn the Merchant on Economics. It'll cut the time from 5 turns to 2. We'll be just about ready for another civics change to Free Market around then.
Dortmund's borders expand <-- and look at the territory Hamburg picked up:
GreyFoxTown finishes: Grenadier
Turn 9 (1849 AD)
GreyFoxTown begins: Library <-- to ease cultural pressure on Texcoco.
Sparta finishes: Grenadier
Thermopylae grows: 11
Beshbalik finishes: Grenadier
Cologne grows: 10
IBT:
Islam has spread: Harappan
Turn 10 (1850 AD)
Sparta begins: Cannon
Beshbalik begins: Drydock
I suggest we go for Economics when Rifling is complete, then revolt to Free Market.
Here's the save:
http://www.civfanatics.net/uploads12/PH02_AD-1850.Civ4SavedGame