No they don’t, not even a bit, at least for a PhD program. In fact, mentioning it is likely to be a minus.
The people who decide whether to accept a student to a PhD program are a committee made up of faculty and grad students. The only thing that they are looking for is whether this person can be a good researcher. The fact that the person’s father attended that college for their undergraduate is about as relevant as the weather patterns on Mars.
However, they do look at the reputation of the undergraduate program, as well as at who is writing the LoRs.
Admissions to PhD programs in biological sciences are almost, but not entirely, polar opposites of undergraduate admissions.
GPA is generally used as a gateway, but a 3.97 is no better than a 3.89. Same for GRE, for programs which care about GREs (which do not include any of those on your list).
Nobody cares about an ECs that are not directly related to research in your field.
What they care about:
Resume - experience in the field, research-related accomplishments, from internships at labs to presentations and publications.
LoRs - these should come from the most well-known people in the field who can provide an opinion. So people who were her instructor (especially in lab courses) or for whom she worked. The bigger the name, the better it is. The undergraduate advisor is only good if they are an active faculty member, not if this is a job for a staff member.
Cover letter - this is not an essay, and the applicant is not trying to demonstrate that they are a great person. This is where an applicant demonstrates that they know what a good amount about their field of interest, and that they know what research in their field entails.
Undergraduate program - reputation is important in academia, however, it is not seen the same as it is on CC. It’s not based on prestige, but on the reputation the programs has within the field. this is generally used as a proxy for whether the student has a strong background in the field.
Again, the most important information that these are trying to convey is that this person has the ability to produce original research, and to see it through to the end.
Finally, reaching out to potential advisors is not only acceptable, it is hands-down the best way to increase chances of being accepted to a program. When the applications come in, and the first cull has happened, faculty can look through applications and say “I want that student”. Since that means that the faculty member is willing to support the student and take responsibility for the student, the student is generally fast-tracked for acceptance. Even if the faculty member mentions to the committee “hey, I spoke/emailed/etc with DTG Junior, and she seems to really be smart, motivated, and knowledgeable”, that will pull her to the top of the pile.
I absolutely agree with this. That is why I spent the time putting together the megillah above. If your daughter wants to do a PhD, she should, and she is qualified for any PhD program. Your daughter seems to have all the elements required to be an attractive applicant for a PhD program.
She should speak with any professor with whom she had a good relationship during undergraduate, so that they can help her put together the application.
It will help more than a little. Non-Canadian students are not eligible for much of the financial support that the Canadian government provides for training graduate students. So faculty who accept non-Canadians have to look for other ways to financially support these students (their research grants are smaller than those provided by NSF and NIH), so they are sometimes reluctant to do so.