Existing Glyph in Mrs Eaves OT italic for website with unicode

Hello, 

I'm trying to implement an st-glyph with Mrs Eaves OT italic to a website with css and unicode ligatures, but unfortunately either my coding or the font installation isn't working properly. I do know that Mrs Eaves OT italic has a glyph for st, so I'm wondering why is the font applying to this code, when the font works well in all other text. Should I download a wider font to the website, or is it that the font is not containing glyphs in the web version at all? 

Here's my css: 

h1:before {
font-family: 'mrs-eaves' !important;

font-style: italic !important; 
content: "\FB06";
}

but the result is this: 

Is there a way to have the st glyph also with Mrs Eaves OT italic online? 

plan it