You will sometimes find vintage Hamilton watches with unusual colors. There's a good possibility that the dial was incorrectly refinished. In fact, there are a couple of ebay sellers I used to see that market Hamilton models with custom finished dials - which is fine as long as you don't say it's "original".
For the first 20 years Hamilton produced watches with either white or silver dials. Two tone white/silver dials were also very common. In the late 1930's a black dial was introduced, shaking things up a bit. Eventually in the 1960s a couple of gold-colored dials snuck in. That was pretty much it when it came to colors - but other attributes like textures and diamonds could still spice things up a bit.
In 1968 / 69, a model line called the Color Classics was briefly produced. There were four Color Classic models - the M1, M2, M3 and, you guessed it, the M4. Each model had a uniquely colored dial that looked almost like marble. Each model came with it's own colored strap. The case was not always the same though - the M1 and M2 had stainless steel cases and the M3 and M4 had hard yellow gold plated bezels with stainless steel backs.

The M1 featured a blue marbled dial with white baton hands and simple white hour markers. It was paired with a blue strap.

The M2 featured a green marbled dial and green strap. In addition, the dial featured white baton hands and small Roman numerals printed in white.
The M3 had a yellow gold plated bezel and a brown marbled dial. It also had white baton hands with slightly larger white Roman numerals on the dial.
Last in line was the M4 and it was cased in yellow gold plate but the dial was red marble, with white baton hands and simple hour markers like the M1.
My project watch is the 2 variety and it came with it's original strap! The dial pretty much spans the bezel opening so I wonder if this is a front loader?
The crown is clearly marked with the Hamilton H logo.
The buckle on the strap also features the H logo but the strap doesn't have any other markings.
The case back is stamped with 300003-3 matching (almost) the catalog snip of 300003-0373. I wonder what the 37 denotes? Do you think the M1 would be 300003-2. I guess I'll have to find one someday and find out. The model number is off center so I suspect this case back pops off. It has a few scrapes, presumably from previous attempts to open it.
It turns out this is actually a three-piece case. The bezel pops off, as does the case back. The movement is secured to the case center with two case screws. Once those are removed the movement and dial will come out the front.
The movement is a caliber 30. I can't say I've seen that before but it looks a lot like the Thinline movements made at the same time like the 637 and 639. Perhaps that's what the 37 in the catalog number refers to? Could be just a coincidence.
With the dial and hands removed I can start to strip the front of the mainplate. I have to make a confession - I was pretty sure this was a front loader and likely had a two piece stem. I pulled the crown out to "separate it" and ended up breaking the tip of the set lever! I need to replace it or nothing will keep the stem in place. Fortunately the set lever from a 639 donor was a perfect match.
You know the drill by now - all the parts are cleaned and ready to be reassembled. There are that many parts to a basic manual winding movement and the Thinline movements almost reassemble themselves.
Voila... the movement is back together and ticking away with a nice motion. It's off to the timer to see how it's running.
At first glance the distance between the two lines made me think the beat error was probably 2-3ms. However, the timer says it's 8.5 so the two lines are so far apart that they are starting to approach each other from the opposite sides.
It took a bit of steady tweaking but I brought the two lines together and reduced the beat error to 0.2ms. I'll leave it running a smidgen fast, it will probably settle down after a while.
My finished watch looks great. What an interesting looking dial! It kind of reminds me of the laminate counter tops from the first house I bought in the 1990s. This is definitely a model best suited to special occasions like St. Patrick's Day!
Here's a photo from a friend of mine who has the M3 and M4 so you can see what they look like. Notice the Roman numerals are more refined than on the M2. I suspect the M1 dial would look like the red dial but in blue with a stainless steel bezel like the M2.