First of all, is there a particular name for such an art style? And also I'm not expecting a quick "here's how you do this" type of answer and I understand that it may just be a case of me studying the style and repeatedly drawing until I can match the style, but any additional help on achieving it would be great.
I'm looking at creating a logo that has more of an old fashioned illustrated style; much like these Victorian illustrations
I've seen modern companies that use logo's with this sort of style for things such as clothing or food, especially people looking for that old fashioned "rustic" look to their brand.
I am currently looking to start up a business for hand-made homeware that has more of an old fashioned/warm/rustic feel so this style of logo would be perfect
How can I best replicate this art style? Is it something that would be best hand drawn and the "traced".
Identification - It can fall under:
Something like this I would personally do-it manually with a 0.05 pen. If you can't try some simple Photoshop crosshatch brushed like this one
Those examples are type ornaments or electrotype ornaments and are often called dingbats. But they are derived from 19th century woodcut illustrations. So, the style is generic dingbats and letterpress ornaments.
Electrotyping is a depositional process, so the inverse of etching or engraving (because they were used in-line on a letterpess). However, they require an original to copy and so the original would probably be from a wood engraving etc.
For an example, see "Specimens of Printing Types [...]" By Bruce's New York Type Foundry page 157. They have a "pointy hand number 103" for 8 cents (5 gabillion in 2015 cents).