Determine which leads are run leads, and which are start leads, or which are a combination of both. Once determined the overall solution is to parallel the windings externally, where at a higher voltage 1 motor lead per line is used, 2 would used per line in parallel.
Leads marked 1 through 4 would be connected 1 to line, and 4 to line with 2 and 3 electrically connected and isolated as a series connection for the higher 220 single phase voltage.
Rewire or reconnecting if possible to 110 would then be connected motor lead 1 and 3 to one of the 110 volt lines and the remaining motor leads 2 and 4 to the other 110 volt line.
In some cases the parallel connection could be 1 and 2 to line, and 3 and 4 to line for 110 volts.
It makes no difference on an induction single phase motor which line from the 110 either hot or neutral is connected to either pair of motor leads.