The word 'dream' has several meanings. In the context of your question two of those meanings are particularly appropriate.
- A dream is a sequence of thoughts and images that run through a person's mind when they are sleeping, or sometimes when they are daydreaming.
If you frequently dream about the same thing then they may be referred to in the plural, e.g. "In my sleep, I frequently have dreams about having a child."
- A dream is a deeply desired outcome that you regularly and consciously think about because you hope and want it to become true.
Someone who consciously desires and dreams about a singular outcome is often said to have 'a dream', i.e., in the singular, e.g. Martin Luther King's famous 'I have a Dream" speech. For example, "It would be my fondest dream to have a child."
Of course, someone who has a strong dream (as per definition 2) may also regularly dream (as per definition 1) about that outcome in their sleep.
So, coming back to your phrase 'together with her dream(s)':
If she has only dreamed about having a child once while she was asleep, then it would be dream in the singular, but it would also be scarcely worth mentioning.
If she has regularly dreamed about having a child while she was asleep, but does not give it a conscious thought, then it would be dreams in the plural, and probably worth mentioning.
If she has a strong, burning, conscious desire to have a child, then it would be dream in the singular, and definitely worth mentioning. The failure to achieve a strong desire, especially if the fulfillment of that desire is connected to one's self-image or self-worth, can be a calamitous event in someone's life, and definitely worthy of a mention.