You can set the hyperlink property on your text field. Here is a hyperlink from the HyperlinkReport.jrxml example:
<textField hyperlinkType="Reference" hyperlinkTarget="Blank"> <reportElement x="5" y="95" width="200" height="15" uuid="773ef7f6-735d-47f7-8b16-d8136c5da1d3"/> <textFieldExpression><![CDATA[" >> Click here to go to www.google.com"]]></textFieldExpression> <hyperlinkReferenceExpression><![CDATA["http://www.google.com"]]></hyperlinkReferenceExpression> </textField>
Static Text element doesn't support hyperlink so you'll have to use Text Field and just enter your company name as a value.
In the Properties, there should be "Hyperlink" tab. If you don't see it, try increasing the width of the Properties - it should be next to Advanced.
Hyperlink is also supported on image too. There should be a "Hyperlink" tab.