Can you determine based on its size, what wattage it is? Often the 50,000 resistors for $5 type packs have 1/4W capacity at most, if not only 1/8W capacity which if it's a single resistor feeding the whole light, may be too small a wattage. I'd bet the wattage on it is at least 1W and probably 2W. 2W resistors are usually about 4mm diameter in the middle (not the end caps).
Once you determine what value you need, you can buy just that value from an electronics supply house like Digikey.com for somewhere between a few pennies and a few dimes a piece (might have to buy 5 or 10 minimum but that usually totals under $2) and for something that small (under 8 oz. IIRC) they have fairly reasonable USPS shipping rates, under $3 the last time I checked but it's been years since I placed an order there which was that light weight.
Anyway if enough of the resistor end caps remain, you should be able to use a multimeter to measure resistance.
How is the light configured as far as # of LEDs in series or parallel? Big_Z if you don't know, perhaps someone else does. Given that info a good value of resistor might be arrived at mathematically.
I'll throw some numbers out there. I saw a picture that suggests there are 12 LEDs. IF they are red, their forward voltage is around 2.0V per LED. That means they couldn't all be in series, the sum voltage drop would be too high, so they would more likely be arranged as 2 parallel runs of 6 LEDs in series.
If that is correct, I'm supposing they might want up to 20mA drive current per parallel run, so with that in mind, the only resistor value that makes even a little sense based on the colors you reported is 96ohm, 1%, 2W. That could easily be wrong - I have made too many guesses in a row and advise that you measure with a multimeter or provide more info.
The other experimental way to go about it would be to have an array of resistors on hand, or a rheostat, then progressively, starting from a high resistance value like around 1000 ohms, progressively decrease the resistance while measuring current with a multimeter, and voltage drop across the resistor to find remaining voltage drop across the series of LEDs and calculate current per LED from that, not letting the resistance get low enough that more than 40mA current is flowing until you know what you're dealing with and not even that for more than a few seconds. 20mA would be a more conservative max level to stop at, with enough data to calculate what's going on.
It would be much easier to just measure the resistor with a multimeter if possible. If you don't have one, Harbor Freight sells them for $4 one week, free with coupon the next week, or about $5 on ebay.