The two sets of terminal blocks on the left do look like 110 VAC, at least one will most likely be the input, black hot (ungrounded), white neutral (grounded). and green ground (grounding).
With the color of these wires, and the L1 and L2 fuses next to this terminal block,
(one of these fuses probably go to the black and one to the white) the black may go through the inductor, maybe a capacitor before going to the primary of one of the transformers.
At least one set of these sure looks to be the 110volt input, you would not have need for two inputs to power the board.
The other set could be a switched output, With there being two sets of these, the other may not be an input, or it could just be a connection (jumper block connection on the board),that fed the input to some other board or even from a switch to turn this board on and off...
you can see if both are tied together with traces, (are both sets of terminals with the black wires tied together, whites together, and greens together, if each of color are not tied together (one leg may be switched on the board), (or could have gone to a switch that switch power back to this board), if you cannot see the traces you can use an ohm meter (in ohms scale to check for continuity). or a light bulb and battery.
An old flash light can be used for this tool, (to check for continuity, just put wires to each side of the flash light switch, and use them for test leads.
Are there traces on the back side of the board, seeing both sides can be helpful, also seeing or knowing the numbers or letters next to the terminal blocks, and circuit components are clues to what they are or what they may be for.
If this is the driver for the crystals, my guess is the transformer without the white insulators is the power transformer (to lower the voltage to the circuit board which is then rectified to DC for the board).
The transformer with the insulators my guess is was what drove the crystals at the high frequency, the blue wire may be a feed back loop to its driver circuit.
The transistors (or whatever), with the common heat sink on the end of the board, these could be the driver circuit for the high frequency transformer (along with its large ceramic resistors and capacitors).
With the simplicity of this circuit, we may be able to find a circuit similar to this from looking at driving ultrasonic transducers, searching through this type of circuit on the internet...
something like this:
https://www.google.com/search?q=ultrasonic+cleaner+circuits&newwindow=1&source=lnms&tbm=isch&sa=X&ei=IbYbVP2EJ6SLjAKKrIHoDw&ved=0CAkQ_AUoAg&biw=626&bih=396&dpr=1.25#imgdii=_
You speak of a motor, was there a motor? or are you calling the crystals motors?
Was this the only circuit board in the ultrasonic cleaner? was it an ultrasonic cleaner?
Do you have a manufacturer or model number of the machine these came from where we may be able to find a schematic, or more information?
As far as trying to power up the board and seeing if it will work, I would probably try it, after doing some tracing of the circuit, to get a better idea of it, and after trying to find more information like schematics...
I would not recommend it, if your not used to working with electricity, or circuit boards.
The terminal outputs may just be hot wires of the crystals, the grounds for the crystals may just go to the heat sink it looks like there is a terminal connection there.
Your pictures are helpful but without having the board it is hard to tell much.
