I can imagine that a divorce lawyer or an online divorce service would want to acquire such a domain. Please correct me if I am wrong.
Yes, that is the trap and the flaw in the thinking. You have to ask yourself why they would want the name. If the name doesn't get any traffic then it will not generate any leads for the attorney. And since this name isn't the type of name that you can really build a powerful marketing pitch around, then there really is not incentive for an attorney to buy it.
You have the take the next step in the analysis if you are going to really do well. Lots of people think names have tremendous value because "theoretically" someone might want to buy it, but it just doesn't work that way.
Even with stronger names you need to be careful on your assumptions. I will give you a few examples of names that I have had where I was 99 percent sure I would get an easy sale.
Miscroscripts.com (there are sites at Microscripts.net, Microscripts.info, and more)
The above name did not lead to a sale to the .net or .info, and I was willing to let it go for a very low price at the end.
VarietyMotors.com (site at VarietyMotors.us and VarietyMotors.net)
No sale to the .net or .us.
Now, there have been many other times where the sales were made quickly and I made lots of profit on the name, but the above two examples destroyed my assumptions. I really couldn't imagine a sane businessperson not wanting to pay a few hundred for a name that would protect his business and likely lead to many sales.
With a name like MarriageDissolutions.com you cannot make any assumptions at all. You surely won't get emails out of nowhere inquiring about the name. In fact, I would say that there is a zero chance you will ever have some random attorney look you up through Whois and make an offer. If that is the case then the name is not as strong enough.
You are close to being on the right track, but you need to think more about the probabilities than the possibilities. A good name has lots of options. This name has one option....and that is to find an attorney who wants to buy it. I am telling you that if you spent 100 hours on Google trying to find a buyer you might not be able to sell it for $100. And 100 hours of time has to be worth something...even $10 per hour means that you have invested $1,000 worth of time searching for a buyer. But even if you spend just a few hours looking for leads, you are quickly digging yourself a hole that you won't be able to climb out of. The math just won't work, since this isn't a homerun type of name that can lead to a big sale, even if you were to find an interested buyer. You would nead a name like NewYorkAttorney.com for something like that. Now, that is a valuable name, and you could rationalize doing hours of Google research and compiling a list of potential buyers, because it would likely lead to a very nice sale.
It won't happen with this name. It just isn't that easy, and it isn't a strong enough name for the reasons stated above. Good luck though. I just call it like I see it.