Adrian Pearsall Tub Chair  

If you're searching for "Pearsall 2036-C", you probably won't find much because most people don't know the model number. If you're searching for "Pearsall tub chair" you also won't see many because a tub chair is the general name for a heavier upholstered chair, I think (of which Pearsall produced many). Try "Pearsall Saarinen chair" (without the quotes) since it's a knockoff of the Saarinen design.
I don't know if it's worth paying to have it reupholstered. Maybe if you really, really love it and plan to keep it a long time and you get the fabric for cheap and find someone who can do a good job for not a lot of money? Pearsall furniture is not terribly well made and in the end most of his things are copies of better stuff---just things to keep in mind when deciding which way to take it.

Thanks Spanky for your input. I do like the chair, I don't know about love. However, I am into it for almost nothing so I think I will get a few quotes.

Lakaianddie,
The Pearsall chair that you have is Model # 2041 - C Tub Chair. The Model # 2034 - C Tub Chair is an office chair in the style of your chair that sat upon an solid aluminum base with small castors.
***I stand corrected, your chair is the 2036 - C Tub Chair.***
Your looking at about 3.5 yards of fabric and about $100 - $150 to have reupholstered.
Best Regards,
Peruche