The practice of transfusion predates Frankenstein by 150 years. Attempted in France using sheep's blood, initial efforts were actually successful, likely owing to the small amount of blood used. But eventually a guy died. That's what happens when you try to transfuse too much sheep blood.
Unfortunately, a big stink over one dead guy in France = no more transfusions for a century and a half.
Things improved with the identification of distinct human blood types, and by 1840 the first full transfusion was performed. Around 1910, anticoagulants were added to blood, and we figured out that popping it into the fridge was a good idea. That set the stage for blood banks and donations, which have been giving some people a cookie and a pat on the back -- and others the opportunity to make some cash to pay the cable bill -- ever since.
"Hey, is there a way to speed this up? I need to get HBO back on before Game of Thrones starts."