Where does “Hawkings” come from?

Hawkings (English) comes from English hawking, from English Hawkin, from Middle English hāl.

Ancestry of “Hawkings”, step by step

Step	Language	Word	Meaning
1	English	hawking	present participle of hawk; Action of the verb...
2	English	Hawkin	—
3	Middle English	hāl	—