Your SP is not actually returning multiple tables, its returning a selection of columns and rows from your tables, therefore there is no 'table name', and hence why they are named table1, table2 etc. If its important, you could return an extra column for each selection, and in that column fill it with the desired name and then use it from there.
i.e.
select *,'MyTableName1' As [TableName] name from mytablename1
select *,'MyTableName2' As [TableName] name from mytablename2
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