Malmgren - FTDNA - 

FTDNA autosomal match "9cm" to Ballard with family finder SNP designation R-S1211 (Adrian Ballard's male Y line) [Source].

MtDNA Haplogroup: H1a

HVR1 MtDNA Results: 16162G, 16519C

HVR2 MtDNA Test Results: 73G, 263G, 309.1C, 315.1C, 374G

FST MtDNA Coding Region (CR) Test Results: 750G, 1438G, 3010A, 4769G, 8860G, 15326G [Source].

FTDNA reported Relationship Range estimates "4th Cousin - Remote"

Malmgren of Sweden ?

There is another Malmgren recorded at FTDNA 

238 255709 Malmgren K-G Malmgren b 1925 Kiruna d 2007 Uppland,Sweden Sweden N-BY116932

from a different haplogroup fatherline (could this be an indicater of a non-paternal event ?

Y DNA test required

May be a different tester but my belief with the information currently avaliable these results belong to sample; "Brown" or "Mamgren"

37 STR

IN147845 - Unknown ? Unknown Origin R-S1211 Family Finder

Sample comparison; at 37 STR

IN147845

13 24 14 11 11-14 12 12 11 13 13 29 16  9-10 11 11 25 15 19 31 16-16-16-17 10 11 19-23 16 15 18 14 36-37 12 12

258423 - Ballard

13 24 14 10 11-14 12 12 11 13 13 29  17 9-10 11 11 25 15 19 30 16-16-16-17 10 11 19-23 16 15 18 15 36-37 12 12

IN91033 - Ballard

13 24 14 10 11-14 12 12 11 13 13 29  17 9-10 11 11 25 15 19 30 16-16-16-17 10 11 19-23 16 15 18 16 36-37 12 12

Family Finder SNP

CTS10149+, CTS10362+, CTS10834+, CTS109+, CTS11358+, CTS125+, CTS12632+, CTS196+, CTS1996+, CTS2466+, CTS2664+, CTS3063+, CTS3135+, CTS3229+, CTS3316+, CTS3358+, CTS3431+, CTS3446+, CTS3475+, CTS3536+, CTS3575+, CTS3622+, CTS3654+, CTS3662+, CTS3868+, CTS4244+, CTS4364+, CTS4368+, CTS4437+, CTS4528+, CTS4740+, CTS5318+, CTS5418+, CTS5532+, CTS5808+, CTS5884+, CTS623+, CTS6383+, CTS6800+, CTS6832+, CTS7194+, CTS7604+, CTS7904+, CTS8243+, CTS8436+, CTS8612+, CTS8626+, CTS8627+, CTS8980+, CTS9014+, CTS9722+, CTS9828+, F115+, F1209+, F1329+, F1704+, F1714+, F1753+, F1767+, F2048+, F2142+, F2155+, F2402+, F2587+, F2837+, F3111+, F313+, F3136+, F3556+, F47+, F719+, F82+, FGC58+, FT3312+, L1002+, L1004+, L1009+, L1013+, L1053+, L11+, L1112+, L1116+, L1185+, L132+, L1348+, L1351+, L1480+, L15+, L151+, L16+, L23+, L265+, L278+, L350+, L352+, L389+, L407+, L470+, L479+, L482+, L483+, L498+, L500+, L502+, L508+, L51+, L52+, L585+, L741+, L747+, L752+, L753+, L754+, L757+, L761+, L768+, L773+, L779+, L82+, L989+, M11301+, M168+, M173+, M207+, M213+, M269+, M294+, M306+, M343+, M415+, M42+, M45+, M526+, M5590+, M5597+, M5607+, M5609+, M5610+, M5613+, M5615+, M5624+, M5625+, M5627+, M5629+, M5632+, M5633+, M5636+, M5649+, M5650+, M5652+, M5657+, M5662+, M5681+, M5682+, M5692+, M5697+, M5708+, M5709+, M5712+, M5726+, M5738+, M5747+, M5775+, M5777+, M5783+, M5788+, M5791+, M5812+, M5821+, M5825+, M89+, M9+, M94+, P128+, P131+, P132+, P135+, P136+, P138+, P139+, P14+, P140+, P141+, P143+, P145+, P146+, P148+, P149+, P151+, P157+, P158+, P159+, P160+, P163+, P166+, P224+, P225+, P226+, P228+, P229+, P230+, P232+, P233+, P234+, P235+, P236+, P237+, P238+, P239+, P240+, P242+, P243+, P244+, P245+, P25+, P280+, P281+, P282+, P283+, P284+, P285+, P295+, P297+, P305+, P310+, P311+, PAGES00026+, PAGES00083+, PF1016+, PF1029+, PF1040+, PF1046+, PF1061+, PF1092+, PF1097+, PF1203+, PF1415+, PF210+, PF223+, PF234+, PF258+, PF2591+, PF2600+, PF2608+, PF2614+, PF2615+, PF2620+, PF2624+, PF263+, PF2718+, PF272+, PF2723+, PF2739+, PF2745+, PF2747+, PF2748+, PF278+, PF292+, PF325+, PF342+, PF3495+, PF5459+, PF5490+, PF5495+, PF5500+, PF5503+, PF5862+, PF5865+, PF5869+, PF5872+, PF5881+, PF5885+, PF5886+, PF5889+, PF5936+, PF5945+, PF5953+, PF5957+, PF5964+, PF5978+, PF5980+, PF5981+, PF5982+, PF5984+, PF6091+, PF6145+, PF6249+, PF6250+, PF6265+, PF6271+, PF6272+, PF6399+, PF6409+, PF6426+, PF6429+, PF6430+, PF6432+, PF6434+, PF6435+, PF6437+, PF6443+, PF6452+, PF6463+, PF6469+, PF6470+, PF6477+, PF6479+, PF6494+, PF6495+, PF6498+, PF6500+, PF6506+, PF6507+, PF6509+, PF6520+, PF6524+, PF719+, PF779+, PF815+, PF840+, PF844+, PF892+, PF937+, PF951+, PF970+, S1196+, S1211+, S14328+, s3+, V168+, V171+, V174+, V189+, V205+, V221+, V241+, V250+, V2590+, V52+, V9+, Y1493+, Y1526+, Y1571+, Y441+, Y8291+, YSC0000075+, YSC0000186+, YSC0000191+, YSC0000224+, YSC0000225+, YSC0000227+, YSC0000269+, YSC0000288+, Z11893+, Z11917+, Z17709+, A702+, AF4-, S15363-, S24014-

N147845

Unknown Origin

H1-T16189C!

H1a99a1

A16129G, A16183c, T16187C, T16223C, G16230A, T16278C, C16311T

C146T, C152T, A153G, A247G, 522.1A, 522.2C, 315.1C

The only connection i can find to the names Malmgren & Ballard;

is an Insurance Policy;

Insured: Oloff Malmgren, 27 Broad Street, Old Gravel Lane, London. Shipwright. 14th Feb 1789 [National Archives London].

Old Gravel Lane, London. is in a docklands area and very close to, prob one of the first or oldest Baptish church community. The Church pastored by Spilsbury was known to meet in Broad Street, Old Gravel Lane, Wapping and was formed around 1633 [Source]. In 1616 (in the reign of James I.) there was a mixed Protestant Dissenting church gathered in Broad Street, Wapping. Some of these good people were Baptists. [Source]. 

my Bristol Ballard's were Baptists of Bristol

a John Ballard was baptised 22 April 1694 to Henry Ballard & Mary Nedwell at Cleeve Prior, Worcestershire. [Ancestry [Source Tree].

Cleeve Prior near North Littleton and Evesham.

Prob un-connected and coincidence born in place we later find John Ballard of Littleton;

a John Ballard was baptised 10 Mar 1694 of Gravel Lane to Wm & Sophia Ballard at St Botolph, Aldgate (prob unconnected ???)

John Ballard a Husbandman of Littleton, Warwickshire, was born about 1694 he entered the 3rd Regiment of Guards (Scotch Guards) at about the age of 20 in about the year 1714 he was admitted to Pensioned 10 December 1744 at about the age of 50 having weakness in the limbs and being worn out [WO 120/1].

John Ballard a Husbandman of Littleton, Worcester was born about 1694 he entered the 3rd Regiment of Guards (Scotch Guards) at about the age of 20 in about the year 1714 he was admitted to Pensioned 10 December 1744 at about the age of 50 having weakness in the limbs and being worn out. [WO 120/1]. [WO 116/003]. [Pedigree]

The regiment was at 1742-48. Flanders. & 1743. Dettingen.

of Littleton, Worcester see WO 116/003 (could be of the line, Ballard de Halford)

Littleton is, north of Evesham and near Offenham & Cleeve Prior

A John Ballard was buried at St Micheals, Bristol 12th March 1766 (spec.....likely a Soldier - going by other evidence)

Prob un-connected and coincidence in same regiment later;

A Edward Ballard, Shoemaker born about 1761, St Georges Bloomsbury, Middlesex, London,  husband to Mary. also served in the 3rd Regiment of Guards (Scotch Guards) Private in Col Johnson's Regiment [WO 121/170/75].

in the year 1800, Edward Ballard of the 3rd Regiment of Guards (Scotch Guards) apears as the son and heir of Elizabeth Ballard (sister of Edward Whitehead deceased of Chipping Campden and Charles Drury of Broadway) property conveyance [D253/2]. [D253/15]. [Ancestry Source Tree].