Once you have a query, you can get an execution plan in XML format, E.g. by using the following code.
SET SHOWPLAN_XML ON;
GO
-- your query here
select ...
GO
SET SHOWPLAN_XML OFF;
GO
The execution plan contains ColumnReference elements which hold the data that you need (database, schema, table & column), E.g.:
<ColumnReference Database="[mydb]" Schema="[sys]" Table="[sysschobjs]" Alias="[o]" Column="id">
Insert the XML that you got into a table, E.g.
create table ExecutionPlan(id int primary key,execution_plan xml)
-- cannot insert the real XML here due to SO post length limitations
insert into ExecutionPlan values (1, '<ShowPlanXML ...');
insert into ExecutionPlan values (2, '<ShowPlanXML ...');
insert into ExecutionPlan values (3, '<ShowPlanXML ...');
When done with the inserts, use the following query to extract the columns
with xmlnamespaces('http://schemas.microsoft.com/sqlserver/2004/07/showplan' as ns)
select distinct
ep.id
,e.val.value ('@Database' ,'sysname') as db
,e.val.value ('@Schema' ,'sysname') as scm
,e.val.value ('@Table' ,'sysname') as tab
,e.val.value ('@Column' ,'sysname') as col
from ExecutionPlan as ep
cross apply execution_plan.nodes ('//ns:ColumnReference') as e (val)
where e.val.value ('@Database' ,'sysname') is not null
order by id, db, scm, tab, col
+----+-----------------------+-------+--------------------+----------+
| id | db | scm | tab | col |
+----+-----------------------+-------+--------------------+----------+
| 1 | [mydb] | [dbo] | [mytable] | i |
| 1 | [mydb] | [dbo] | [mytable] | v |
| 2 | [mydb] | [dbo] | [mytable] | i |
| 2 | [mydb] | [dbo] | [mytable] | v |
| 3 | [mssqlsystemresource] | [sys] | [syspalnames] | class |
| 3 | [mssqlsystemresource] | [sys] | [syspalnames] | name |
| 3 | [mssqlsystemresource] | [sys] | [syspalnames] | value |
| 3 | [mssqlsystemresource] | [sys] | [syspalvalues] | class |
| 3 | [mssqlsystemresource] | [sys] | [syspalvalues] | name |
| 3 | [mssqlsystemresource] | [sys] | [syspalvalues] | value |
| 3 | [mydb] | [sys] | [sysidxstats] | id |
| 3 | [mydb] | [sys] | [sysidxstats] | indid |
| 3 | [mydb] | [sys] | [sysidxstats] | intprop |
| 3 | [mydb] | [sys] | [sysmultiobjrefs] | class |
| 3 | [mydb] | [sys] | [sysmultiobjrefs] | depid |
| 3 | [mydb] | [sys] | [sysobjvalues] | objid |
| 3 | [mydb] | [sys] | [sysobjvalues] | valclass |
| 3 | [mydb] | [sys] | [sysobjvalues] | valnum |
| 3 | [mydb] | [sys] | [sysobjvalues] | value |
| 3 | [mydb] | [sys] | [sysschobjs] | created |
| 3 | [mydb] | [sys] | [sysschobjs] | id |
| 3 | [mydb] | [sys] | [sysschobjs] | intprop |
| 3 | [mydb] | [sys] | [sysschobjs] | modified |
| 3 | [mydb] | [sys] | [sysschobjs] | name |
| 3 | [mydb] | [sys] | [sysschobjs] | nsclass |
| 3 | [mydb] | [sys] | [sysschobjs] | nsid |
| 3 | [mydb] | [sys] | [sysschobjs] | pclass |
| 3 | [mydb] | [sys] | [sysschobjs] | pid |
| 3 | [mydb] | [sys] | [sysschobjs] | status |
| 3 | [mydb] | [sys] | [sysschobjs] | status2 |
| 3 | [mydb] | [sys] | [sysschobjs] | type |
| 3 | [mydb] | [sys] | [syssingleobjrefs] | class |
| 3 | [mydb] | [sys] | [syssingleobjrefs] | depid |
| 3 | [mydb] | [sys] | [syssingleobjrefs] | depsubid |
| 3 | [mydb] | [sys] | [syssingleobjrefs] | indepid |
+----+-----------------------+-------+--------------------+----------+
Fiddle
P.S.
You would probably want to automate the process by writing a code (e.g. in Python) that connect to your database, pick a query, get its execution plan and save it into a table.