American Heritage Dictionary defines "phrasal verb" as follow:
An English verb complex consisting of a verb and one or more following particles and acting as a complete syntactic and semantic unit, as look up in.
In this question is being asked whether "She went crying up the stairs" is unacceptable in comparison with "She went up the stairs crying."
I have thought that the former were unacceptable because "go up" is an inseparable phrasal verb, but I'm not sure on this circumstance because taking a look on grammar.ccc I'm not being able to find it neither in "Separable Phrasal Verbs" nor in "Inseparable Phrasal Verbs".
So, I am wondering if "go up" is a phrasal verb and and, if so, I ask: is it separable or inseparable?