The ceiling fan spin was slow. The c61 e185116

IT IS THE STARTER CAPACITOR NOT CHARGINGING UP TO INITIALLY CRANK MOTOR TO RUN SPEED,, BE VERY CAREFUL AS MOTOR WILL GET EXTREMELY HOT AND COULD MELT WIRING AS AMPERAGE NOT GETTING RELEASED, JUST LIKE HOLDING AN ARC WELDER TO LONG WHEN ROD STICKS

We do not sell parts or have any way to locate them for you other than a Google search which you can do.

two different items one is a switch and you are looking for a capacitor ( two wires )
if it is a capacitor that you want all you will need is the voltage and the uf or mf reading
one is the voltage that it can operate at and the other is the capacitance value of the capacitor for the motor
so for example--- the printing will read like 300 volts --- 15uf
and you will need around the same size to fit in place of the other one
e-bay will sell them

It's a good motor. How do change the speeds? If you have it on a dimmer switch,that's your problem.

Buy cheap multimeter from hardware to test the wires.
Copy following links for resources
http://waterheatertimer.org/How-to-wire-3-speed-fan-switch.html
http://waterheatertimer.org/images/Motor-wiring-500.jpg

If you need further help, I’m available over the phone at https://www.6ya.com/expert/gene_9f0ef4df2f9897e7

Try the link below. Without having the UF (electrical size of the capacitor) it is hard to source exactly your capacitor. This one below should work.
http://www.westfloridacomponents.com/J131APE10/14uF+220VAC+Motor+Capacitor+Sheng+Ye+C61+E185116.html

I have a 3 wire 1.8 uf and 2.7 uf fan capacitor. Mfg suggests to replace with 3 wire 4 uf and 5 uf. What will this do ? Any harm.

You may find the parts that you need at the following web site...http://www.eceilingfans.com/
They have all of the capacitors there. All you need are the number of wires and the capacitor micro-farad ratings.

My hampton bay fan began running at full speed on all three fan positions a few weeks ago. I replaced the switch, which did not work. I noticed that the small black box (capacitor) inside the recess behind the light cover has a large bulge that has cracked the plastic. The part number (C61 E185116) does not reveal any websites that can offer a replacement, and hamtonbay.com redirects to homedepot.com. This fan is apparently made by home depot, and it is not backed in the same manner as Hunter fans are (I received a free replacement part for a Hunter about five years after purchase). From this experience and what I have read in this forum, I have learned to avoid the hampton bay fans. It is too difficult to find a part when there is no real manufacturer to contact for assistance.

If you can find the exact fan at Home Depot, purchase it and return the lemon that you have. I cannot find a hampton bay website. Home Depot apparently buys these directly from overseas manufacturers, so there is no "company" to contact for real support. I had no luck finding my capacitor C61 E185116. Stick with the big names like Hunter in the future. Believe it or not, I received a free trim ring for mine about five years after purchase because it kept falling onto the body. Now that is world-class support!