Parsing XML into multiple tables with foreign keys

I am attempting to write a SQL stored procedure to parse an XML field into data for two tables with a foreign key relationship between them.

My XML looks like the following:

<objects>
    <object>
        <name>Customer</name>
        <objectType>Primary</objectType>
        <fields>
            <field>
                <name>LastName</name>
                <type>STRING</type>
            </field>
            <field>
            ...
            </field>
        </fields>
    </object>
    <object>
        <name>Company</name>
        <objectType>Primary</objectType>
        <fields>
            <field>
                <name>CompanyName</name>
                <type>STRING</type>
            </field>
            <field>
            ...
            </field>
        </fields>
    </object>
    ...
</objects>

My end goal is to insert this data into a table structure like the following:

CREATE TABLE ObjectData{
    ObjectID int NOT NULL IDENTITY(1,1),
    ObjectName varchar(100),
    ObjectType varchar(100)
}


CREATE TABLE FieldData{
    FieldID int NOT NULL IDENTITY(1,1),
    FieldName varchar(100),
    FieldType varchar(100),
    ObjectID int NOT NULL FOREIGN KEY FK_FieldData_ObjectID REFERENCES ObjectData(ObjectID)
}

I'm having a hard time wrapping my head around how to get this done. Anyone have any experience doing something like this?