I just recently purchased a Bolens mower with a Tecumseh engine I noticed a grease zerk on the side of the engine under the carburetor.Does anyone know the purpose or what this is for I am intrigued

NEVER seen that.. Sounds aftermarket.
 
Can you post a pic or model#?
 
 
 
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I will get it on here as soon as I can

Model# HH120-120090C

I am having trouble uploading the picture it is on the side under the carburetor just to the right of the governor shaft

New users are generally limited to posting pictures...
 
Here's the link to your engine, which does not show any grease fittings:
https://www.jackssmallengines.com/jacks-parts-lookup/manufacturer/tecumseh/oem-cross-reference/gardenway-bolens/hh120-120090c/engine-parts-list-1 
 
Here's a close up pic of the block.  Can you describe, with this pic, 
the location?
 
[url=https://postimages.org/][/url] 

It is right above the fill plug 30 in the hole of the governor plate

Ok, #30 is the oil drain plug. 
 
The internal oiling system is a simple "splash" of oil.
There is no reason for a grease fitting.
 
There shouldn't be any zerk fitting.  
I'd just make sure it's not leaking engine oil and ignore it.
 
Obviously, make sure your oil level is correct...
 
Someone didn't have a clue what they were doing.
 
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https://i.imgur.com/in48RRK.jpeg

I understand splash system I wonder if a plug goes there and someone just used a zerk to plug it for kicks I haven’t tried to remove it

https://i.imgur.com/in48RRK.jpeg