Hi, all vaccines work by massively stimulating the immune system using chemicals called adjuvants. These are essentially toxins that make the immune system go nuts for a time, which amplifies the response to the virus or virus mimic in the vaccine. For anyone with an immune disorder like ME, any vaccine is an increased risk over the general population. Hepatis B has reportedly had the highest rates of adverse reactions, but none can be considered as safe as if given to a fully healthy person. In any case we often fail to seroconvert - which means we do not develop the B memory cells that are required for any degree of long term immunity. So not only are we at increased risk of an adverse exacerbation of our ME, we may well not receive any benefits. The only vaccines anyone with ME should consider, in my opinion, are those you already have a history of tolerating.
This story is entirely different in healthy people. It may or may not be different in family members of those with ME - we don't have enough data, and that alone means that a child of someone with ME has to be considered at increased risk of adverse events from vaccination on the precautionary principle.
Bye, Alex