To be frank, the question itself tends to indicate misuse of the tag in question. Numbered heading tags exist to provide logical structure to your document, being the start of subsections. The H1 is the parent heading, of which all sub-headings are by definitions subsections of – which is why I usually have JUST the site title in my h1’s and try to get it in my content BEFORE any other body level content; since everything on the page is by definition a subsection of H1. You end up with a H2 called “advertisement” in a sidebar and another h2 called “tag cloud”, that’s not a subsection of “welcome to” – they are kin to it.
It’s like the people who skip down to h4 or h5’s for things that are siblings – not children – of the content area headings, or have h2’s or h3’s before they even have a h1 – they don’t “get” the point of headings.
The text you describe sounds like it should be a h2 to me on those grounds – though to be honest I’ve always HATED “welcome to” text on websites. Way too impersonal and often little more than a waste of bandwidth.
Of course this was moved to the SEO area, where everyone is going to tell you to go ahead and ignore the entire point of HTML and the semantic meanings of tags for black-hat SEO scam bull that’s more likely to get you blacklisted than to build a proper accessible website people will want to visit.
I mean, at that point you might as well have gibberish markup like:
<h1>Our three main web services include:</h1>
<ul>
<h2>Website Design</h2>
<h2>Web Application Development</h2>
<h2>Web Marketing</h2>
</ul>
In case you don’t know, the only valid children of a UL are LI, and those aren’t headings so why are they H2?
or non-semantic wrecks like:
<div id="header">
<a href="/" title=" "><img src="http://www.sitepoint.com/forums/images/logo.png" alt="Bades Design Main Logo"/></a>
<p id="tagline">Good Design. Practical Development. Smart Marketing.</p>
<p id="toplinks"><a href="about.html">About</a> | <a href="contact.php">Contact</a></p>
</div><!-- End of header -->
Which I’d have as a h1, small tag inside the h1 for the tagline, and a UL for the list of links… with no pointless wrapping DIV around them…
… and that’s before we talk the accessibility train wreck of those PX metric fonts on the content areas and semi-broken fixed width layout.