There are generally two types of financial advisors: ones who get most of their income via commissions and ones who get most of their income from their clients. The ones who get most their income from clients have much more incentive to act in your best interest. They may still get some commissions, but the commissions should be only a very small amount of their income.
I don't know how much you pay for this financial advisor. If the amount is above average for financial advisors (and I'm not sure what that is), they're more likely depending on clients for their income. If their fees are lower than average, they're more likely getting income from commissions.
Also, I suggest asking her if she earns commissions on the products she recommends and how much. Ask her to explain why certain products are better than their competitors. The more detail she's able to offer about the product and why it suites your needs, the better. If she's only able to offer vague statements ("it's trustworthy", "the company has been around for 80 years") without discussing the details for the product, you should be cautious.
I also suggest getting the details of the products she recommends (fees, penalties, and the fine print details) and educating yourself on that category of products. If she's recommending term life insurance, find articles about term life insurance and learn what to avoid. You don't need to educate yourself up to her level (you did hire her for her expertise after all), but do at least have some basic knowledge. People who know a little about cars are less likely to get scammed by unethical mechanics than somebody who knows nothing about cars: the same goes for financial products.
That said, I think that her general advice is sound (I'm including the knowledge from your 2 edits). As the sole provider of income, you want to ensure that your family is taken care of if you die or become disabled. Term life insurance is the best deal for life insurances and I do advise long term disability insurance. The devil is in the details, as they say.
Here's my advice. Calculate an amount that your family could live off of should something happen to you and for how long. Will your wife eventually get a job when the child gets older, decreasing the necessary amount of insurance? What sort of education expenses will the child need? Will there eventually be more children? How long does it need to last? Until the child becomes self-sufficient or even longer? What kind of debts (car loan, mortgage, etc.) would need to be paid off? Term life insurance is cheaper the younger you are, so it tends to make more sense when you are younger and have small children to support. Older people with grown children are less likely to need it, although it does depend on their exact situation.
Once you have an amount, try to get enough life and disability insurance that would cover the amount and still be affordable. If your work provides $100,000 of life insurance but you calculate that you need $500,000, buy $400,000 of extra life insurance. I recommend buying a bit more because you may change jobs or be without a job for a period of time.
Then looks at the products that are offered to you and analyze them. What is covered? What is not covered? When will the insurance pay out and when will it not? You have to pay attention to the details and verify that it makes sense for you. The disability insurances in particular can be tricky. They may only pay out a small amount if you lose a hand, for example. If you cannot do your job one-handed, then that might not be enough. If that's less important to your job, that may be fine. My long term disability insurance, for example, doesn't cover claims made in the first year of having the insurance, but it's cheaper than insurances that do cover first-year claims. It's good to be aware of details like that.
You may not find the perfect insurance that's also affordable, so I recommend finding the one that fits your needs the best. Your financial advisor (if she's good) should be able help you meet your needs to the insurance details. If she doesn't seem interested or glosses over the details, then she's likely doing it for the commission rather than what's best for you.