widget logic for blogroll links on blog home page

I am working on getting a blog roll on the home page of my blog – which is a “static” page as part of a WP CMS website.

I have tried is_page(X), is_singular(X), is_home(X) with no results anywhere. I just tried is_home_page(X) and I found a “fatal error” message on my archive page – a child of the blog page.

Here is a link thesmarterhomeoffice.com

Any suggestions are gratefully welcome.

PS – the “smarter” part of my URL refers to office layout, not technology ??