Short Answer: 'NO', unfortunately NOT. We CANNOT "Share" ANY "Living" people
That said ...
What you have to do ...
As you and your Mother are ALL "Living" Users/Patrons, of "Family Tree" of 'FamilySearch', even IMMEDIATE Family members ...
You; and, your Mother, WILL have to "Added" SEPERATELY (and, 'Yes'; as, DUPLICATES) the ALL "Living" individuals/persons (ie. Father/Husband; Siblings; Grandparents; Aunts; Uncles; Cousins, etc) that connect/link you together, in your respective 'FamilySearch' Accounts ...
Basically, you and your Mother have to "Build" a "Bridge" of the "Living" individuals/persons that connect/link you together, in your respective 'FamilySearch' Accounts ...
Once, you have built that bridge of the "Living"; then, when you come to your Common "Deceased" Ancestors, your "Ancestral" lines will connect/link together into one ...
All you may need to do is "Swap", between yourselves, the "Details" of the "Living" individuals/persons that connect/link you together ...
And, any "Memories" thereof ...
So that, you ensure the "Details" of the "Living" individuals/persons that connect/link you together are, correct; and, synchronised, between you all.
I hope this helps.
ps: More to follow ...
Most new (and, some old) Users/Patrons DO NOT understand the basic nature and premise of "Family Tree" of 'FamilySearch', when they join in.
Please let me explain ...
[ And, please bear with me; as, I am VERY 'Verbose' ... ]
We do not have our OWN "Tree" in "Family Tree" of 'FamilySearch'.
We ONLY have "Branches" (ie. Ancestral" lines), that are interconnected, in this SINGLE "One" World "Tree", for all of us, that is "Family Tree" of 'FamilySearch'.
"Family Tree" of 'FamilySearch' is NOT like 'On-Line' "Websites" (eg. "Ancestry_com"; or "MyHeritage_com"; or, the like); and/or, 'standalone' personal (computer) programmes (eg, the OLD, now no longer supported, "PAF"; or, "Ancestral Quest"; or, the like).
We DO NOT have "Private"/"Personal" 'Trees' in "Family Tree" of 'FamilySearch' like other 'On-Line' "Websites"; and/or, 'standalone' personal (computer) programmes.
We do not even, own; or, manage; and, are NOT even responsible for, the "Deceased" individuals/persons in "Family Tree" of 'FamilySearch'.
"Family Tree" of 'FamilySearch' is built on a "Open Edit" Platform - hence, why any registered User/Patron can "Edit" (ie. Add, Delete; and/or, Change) ANY "Deceased" individual/person in "Family Tree" of 'FamilySearch'.
You can certainly "Merge"/"Combine" any "Deceased" individual/person in "Family Tree" of 'FamilySearch' with another "Deceased" individual/person in "Family Tree" of 'FamilySearch', regardless of who the User/Patron was that initially created those "Deceased" individuals/persons; as, they DO NOT reside with the User/Patron who initially created them - they are "Public".
If fact, you can ONLY see "Deceased" individuals/persons in "Family Tree" of 'FamilySearch'; except, with this 'rider', that you can ALSO only see "Living" individual/person in "Family Tree" of 'FamilySearch' that YOU created; as, they reside in your "Private Spaces".
No other User/Patron can see ANY "Living" individuals/persons that were created by another User/Patron; as, they ONLY reside in the "Private Spaces" of the User/Patron who created them.
We CANNOT even see the ACTUAL Record in "Family Tree" of 'FamilySearch' of our IMMEDIATE Family (eg. Spouse; Children; Parents; Siblings; ETC; Etc; etc) if they are "Living"; and, they have their own 'FamilySearch' Account.
Of course, you can create your "Living" Family members; and, record them in "Family Tree" of 'FamilySearch'; but, they will ONLY be seen by you:
▬ You cannot "Share" them with any other User/Patron.
▬ You cannot "Merge"/'Combine" them with any other "Living" individual/person residing in the "Private Spaces" of another User//Patron.
There is CURRENTLY no mechanism in "Family Tree" of 'FamilySearch' for Users/Patrons, to "Share"; or, "give permission" to "Share", the "Living" individuals/persons in their own "Private Spaces" with/between other/another User(s)/Patron(s).
There are a myriad of "Privacy" Laws within the many various Countries and Unions throughout the World - it is a nightmare to negotiate.
"Family Tree" of 'FamilySearch' is used in many Countries and Unions throughout the World; and, as such, must adhere to the myriad of "Privacy" Laws throughout the World.
Hence, "Privacy" is one of the reasons that we cannot "Share" the "Living" individuals/persons in our own "Private Spaces" - it is NOT the ONLY reason; but, certainly has a bearing on the matter.
Another factor is that such would have to be 'Coded'/'Programmed' into the Programme that is "Family Tree" of 'FamilySearch'.
'Yes', these "Living" individuals/person in "Family Tree" of 'FamilySearch' WILL, in fact, in many (most) cases will be "Duplicated" - unfortunately a necessary situation that currently cannot be avoided.
I know that there are "Duplicates" of the "Living" ME - at least, one for my Wife and each of our Children, not to mention my other ("Living") extended Family members.
Here are some "Knowledge Articles" in 'FamilySearch' in regard to "Private Spaces" and "Living" individuals/persons:
Who can see my living relatives in Family Tree?
How does Family Tree protect the privacy of living people?
What Family Tree features are available in my private space?
Can my living relatives share a Family Tree private space to work together?
Can I transfer my Family Tree private space to another user?
Here is a good place to start, with how things work in "Family Tree" of 'FamilySearch' (and, other programmes as well):
Getting Started with Family History
Here are the main things you need to know as you get started
How to Use the Family Tree
What is The Family History Guide?
The Family History Guide
About The Family History Guide
Thanks a lot Brett, I really do appreciate the information and time you took to write it. I am sure it will be helpful in this journey. I am really enjoying discovering more about our family's lineage and it is a nice project to share with family and others (deceased information) as you mentioned. If it is all correct, it is interesting to see our family trace back to some historical figures that we never realized.