[MENTION=29849]Yuu[/MENTION]
Sounds like a need to control tied into genuine concern fir you that they cannot properly(and ironically) control.
Aka 'what she is doin, i wouldnt ve able to pull off therefore it must be wrong, so i have to now follow her around in order to keep things from fallibg apart/hurting ly baby!'
The way in which this anxiety manifests usually provides a clue to the personality type but is typically irrelevant in the manifestation of the anxiety/parental worry/need for control. Abd unfortunately, it can create permanent damage to the child's self esteem, especially if done for years on end.
Typically, its their blindspot/inferior functions that is the worst. With me, my dad bashed my Fi (his blindspot) relentlessly demanding Ti and my mom went apeshit on my Ne (being ISTJ), demanding Si. Then it drove her nuts i was able to game the system and succeed with Ne while taking such risks, in her opinion.
Ive seen my INTP brother go nuts over his ISTPs son need to train his Se in the most harrowing situations( in his opinion), and demand he uses his intelligence in a more abstract/safe manner

Its just coz he feels inadequate to properly guarantee his sons safety and success in areas where he himself is incompetent (aka Se). Interestingly, he decided over the years to hone that function more just to be able to keep up with his sons