This should do the trick:
CREATE TABLE dbo.TableA ( RowID INT, Name VARCHAR(20), StartDate DATETIME, EndDate DATETIME )
GO
CREATE TABLE dbo.TableB ( RowID INT, Name VARCHAR(20), StartDate DATETIME, EndDate DATETIME )
GO
CREATE VIEW dbo.ViewA AS SELECT RowID, StartDate, EndDate FROM dbo.TableA;
GO
CREATE VIEW dbo.ViewB AS SELECT RowID, StartDate, EndDate FROM dbo.TableB;
GO
CREATE PROC dbo.ProcA AS
SELECT RowID, Name, StartDate FROM dbo.TableA
RETURN
GO
CREATE PROC dbo.ProcB AS
SELECT RowID, Name, StartDate FROM dbo.TableB
RETURN
GO
SELECT o1.type_desc AS ReferencingObjectType
,OBJECT_SCHEMA_NAME(d.[object_id]) AS ReferencingSchema
,OBJECT_NAME(d.[object_id]) AS ReferencingObject
,COALESCE(COL_NAME(d.[object_id], d.column_id), '(n/a)') AS ReferencingColumn
,o2.type_desc AS ReferencedObjectType
,OBJECT_SCHEMA_NAME(d.referenced_major_id) AS ReferencedSchema
,OBJECT_NAME(d.referenced_major_id) AS ReferencedObject
,COALESCE(COL_NAME(d.referenced_major_id, d.referenced_minor_id), '(n/a)') AS ReferencedColumn
,d.class_desc
,d.is_selected
,d.is_updated
,d.is_select_all
FROM sys.sql_dependencies d
INNER JOIN sys.objects o1 ON o1.[object_id] = d.[object_id]
INNER JOIN sys.objects o2 ON o2.[object_id] = d.referenced_major_id
WHERE OBJECT_SCHEMA_NAME(referenced_major_id) = 'dbo'
AND OBJECT_NAME(referenced_major_id) = 'TableA'
AND COALESCE(COL_NAME(referenced_major_id, referenced_minor_id), '(n/a)') = 'StartDate'
See here: https://msdn.microsoft.com/en-us/library/ms174402.aspx
There is a note that sys.sql_dependencies will be removed from a future version of SQL Server. I tried writing an equivalent query using the recommended catalog view (sys.sql_expression_dependencies), but this did not seem to provide all the table.column dependencies.