You would have heard of the honours boards at Lord’s. A summary can be seen here.
The “neutral” boards are dealt with at more length here towards the end of the post.
Basically these boards list all instances of i) centuries ii) five wickets in an innings and iii) ten wickets in a match at this ground. Here we look at instances of all-round performances.
Only two have scored a century and taken a five-for in the same Tests. They are among the all-time greats:

Then there are others who have scored centuries and taken five-fors at Lord’s, but not necessarily in the same Test. The full list (which includes the pair listed above) is:

If you remove Mankad and Botham, you still have Allen, Miller, Illingworth, Flintoff and Broad who have scored centuries as well as five-fors at Lord’s. None have scored more than one century at this venue, though there are some instances of multiple five-fors.
There have been only three instances of centuries and ten-fors in the same Test, and all of them have occurred in Asia. We can find a few who have achieved centuries and ten-fors at Lord’s, but not in the same Test:

Incidentally Allen and Broad scored their only Test centuries at Lord’s.
Let us now look at all-round performances at Lord’s which go beyond the honours boards.
A fifty and ten wickets in the match:

Only one instance. If we “stretch” this to 50 or more runs and ten or more wickets, we get:

Miller and newcomer Woakes are added here.
And finally, 100 or more runs and five or more wickets in the match:

Additions to the original pair of Mankad and Botham (1978) are Morkel, Kapil, Botham (1984) and Mark Butcher. The earlier Morkel does not seem to be related to Albie and Morne. The instance of Botham in 1984 was the time when West Indies made 344/1 to win the match. And Butcher was an occasional bowler who took only 15 wickets in his Test career.